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Finding the Third Proportional to 156,501 and 337,338

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Solution

The third proportional to 156,501 and 337,338 is: 727,132.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,501 : 337,338 = 337,338 : x
  2. Step 2: Convert to fraction form
    156,501/337,338 = 337,338/x
  3. Step 3: Cross multiply
    156,501x = 337,338 × 337,338
  4. Step 4: Simplify right side
    156,501x = 113,796,926,244
  5. Step 5: Solve for x
    x = 113,796,926,244/156,501
  6. Step 6: Final answer
    x = 727,132.26

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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.