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Finding the Third Proportional to 160,876.13 and 317,712.38

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Solution

The third proportional to 160,876.13 and 317,712.38 is: 627,446.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,876.13 : 317,712.38 = 317,712.38 : x
  2. Step 2: Convert to fraction form
    160,876.13/317,712.38 = 317,712.38/x
  3. Step 3: Cross multiply
    160,876.13x = 317,712.38 × 317,712.38
  4. Step 4: Simplify right side
    160,876.13x = 100,941,153,228.14
  5. Step 5: Solve for x
    x = 100,941,153,228.14/160,876.13
  6. Step 6: Final answer
    x = 627,446.45

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.