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Finding the Third Proportional to 156,744 and 338,428

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Solution

The third proportional to 156,744 and 338,428 is: 730,704.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,744 : 338,428 = 338,428 : x
  2. Step 2: Convert to fraction form
    156,744/338,428 = 338,428/x
  3. Step 3: Cross multiply
    156,744x = 338,428 × 338,428
  4. Step 4: Simplify right side
    156,744x = 114,533,511,184
  5. Step 5: Solve for x
    x = 114,533,511,184/156,744
  6. Step 6: Final answer
    x = 730,704.28

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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.