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Finding the Third Proportional to 224,865 and 341,902

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Solution

The third proportional to 224,865 and 341,902 is: 519,854.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,865 : 341,902 = 341,902 : x
  2. Step 2: Convert to fraction form
    224,865/341,902 = 341,902/x
  3. Step 3: Cross multiply
    224,865x = 341,902 × 341,902
  4. Step 4: Simplify right side
    224,865x = 116,896,977,604
  5. Step 5: Solve for x
    x = 116,896,977,604/224,865
  6. Step 6: Final answer
    x = 519,854.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.