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Finding the Third Proportional to 160,129 and 348,446

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Solution

The third proportional to 160,129 and 348,446 is: 758,230.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,129 : 348,446 = 348,446 : x
  2. Step 2: Convert to fraction form
    160,129/348,446 = 348,446/x
  3. Step 3: Cross multiply
    160,129x = 348,446 × 348,446
  4. Step 4: Simplify right side
    160,129x = 121,414,614,916
  5. Step 5: Solve for x
    x = 121,414,614,916/160,129
  6. Step 6: Final answer
    x = 758,230.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.