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Finding the Third Proportional to 120,263.06 and 261,019.13

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Solution

The third proportional to 120,263.06 and 261,019.13 is: 566,516.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,263.06 : 261,019.13 = 261,019.13 : x
  2. Step 2: Convert to fraction form
    120,263.06/261,019.13 = 261,019.13/x
  3. Step 3: Cross multiply
    120,263.06x = 261,019.13 × 261,019.13
  4. Step 4: Simplify right side
    120,263.06x = 68,130,983,615.77
  5. Step 5: Solve for x
    x = 68,130,983,615.77/120,263.06
  6. Step 6: Final answer
    x = 566,516.29

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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.