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Finding the Third Proportional to 160,377 and 224,217

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Solution

The third proportional to 160,377 and 224,217 is: 313,469.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,377 : 224,217 = 224,217 : x
  2. Step 2: Convert to fraction form
    160,377/224,217 = 224,217/x
  3. Step 3: Cross multiply
    160,377x = 224,217 × 224,217
  4. Step 4: Simplify right side
    160,377x = 50,273,263,089
  5. Step 5: Solve for x
    x = 50,273,263,089/160,377
  6. Step 6: Final answer
    x = 313,469.28

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.