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Finding the Third Proportional to 120,260.81 and 261,014.63

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Solution

The third proportional to 120,260.81 and 261,014.63 is: 566,507.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,260.81 : 261,014.63 = 261,014.63 : x
  2. Step 2: Convert to fraction form
    120,260.81/261,014.63 = 261,014.63/x
  3. Step 3: Cross multiply
    120,260.81x = 261,014.63 × 261,014.63
  4. Step 4: Simplify right side
    120,260.81x = 68,128,634,463.89
  5. Step 5: Solve for x
    x = 68,128,634,463.89/120,260.81
  6. Step 6: Final answer
    x = 566,507.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.