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Finding the Third Proportional to 240,102 and 517,446

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Solution

The third proportional to 240,102 and 517,446 is: 1,115,152.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,102 : 517,446 = 517,446 : x
  2. Step 2: Convert to fraction form
    240,102/517,446 = 517,446/x
  3. Step 3: Cross multiply
    240,102x = 517,446 × 517,446
  4. Step 4: Simplify right side
    240,102x = 267,750,362,916
  5. Step 5: Solve for x
    x = 267,750,362,916/240,102
  6. Step 6: Final answer
    x = 1,115,152.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.