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Finding the Third Proportional to 224,873 and 341,913

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Solution

The third proportional to 224,873 and 341,913 is: 519,868.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,873 : 341,913 = 341,913 : x
  2. Step 2: Convert to fraction form
    224,873/341,913 = 341,913/x
  3. Step 3: Cross multiply
    224,873x = 341,913 × 341,913
  4. Step 4: Simplify right side
    224,873x = 116,904,499,569
  5. Step 5: Solve for x
    x = 116,904,499,569/224,873
  6. Step 6: Final answer
    x = 519,868.99

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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.