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Finding the Third Proportional to 156,532 and 338,588

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Solution

The third proportional to 156,532 and 338,588 is: 732,385.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,532 : 338,588 = 338,588 : x
  2. Step 2: Convert to fraction form
    156,532/338,588 = 338,588/x
  3. Step 3: Cross multiply
    156,532x = 338,588 × 338,588
  4. Step 4: Simplify right side
    156,532x = 114,641,833,744
  5. Step 5: Solve for x
    x = 114,641,833,744/156,532
  6. Step 6: Final answer
    x = 732,385.93

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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.