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Finding the Third Proportional to 120,542.63 and 262,515.38

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Solution

The third proportional to 120,542.63 and 262,515.38 is: 571,700.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,542.63 : 262,515.38 = 262,515.38 : x
  2. Step 2: Convert to fraction form
    120,542.63/262,515.38 = 262,515.38/x
  3. Step 3: Cross multiply
    120,542.63x = 262,515.38 × 262,515.38
  4. Step 4: Simplify right side
    120,542.63x = 68,914,322,111.39
  5. Step 5: Solve for x
    x = 68,914,322,111.39/120,542.63
  6. Step 6: Final answer
    x = 571,700.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.