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Finding the Third Proportional to 160,469 and 247,622

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Solution

The third proportional to 160,469 and 247,622 is: 382,109.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,469 : 247,622 = 247,622 : x
  2. Step 2: Convert to fraction form
    160,469/247,622 = 247,622/x
  3. Step 3: Cross multiply
    160,469x = 247,622 × 247,622
  4. Step 4: Simplify right side
    160,469x = 61,316,654,884
  5. Step 5: Solve for x
    x = 61,316,654,884/160,469
  6. Step 6: Final answer
    x = 382,109.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.