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Finding the Third Proportional to 156,537 and 338,598

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Solution

The third proportional to 156,537 and 338,598 is: 732,405.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,537 : 338,598 = 338,598 : x
  2. Step 2: Convert to fraction form
    156,537/338,598 = 338,598/x
  3. Step 3: Cross multiply
    156,537x = 338,598 × 338,598
  4. Step 4: Simplify right side
    156,537x = 114,648,605,604
  5. Step 5: Solve for x
    x = 114,648,605,604/156,537
  6. Step 6: Final answer
    x = 732,405.79

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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.