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Finding the Third Proportional to 142,718 and 337,516

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Solution

The third proportional to 142,718 and 337,516 is: 798,196.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,718 : 337,516 = 337,516 : x
  2. Step 2: Convert to fraction form
    142,718/337,516 = 337,516/x
  3. Step 3: Cross multiply
    142,718x = 337,516 × 337,516
  4. Step 4: Simplify right side
    142,718x = 113,917,050,256
  5. Step 5: Solve for x
    x = 113,917,050,256/142,718
  6. Step 6: Final answer
    x = 798,196.80

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.