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Finding the Third Proportional to 226,963.13 and 341,424

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Solution

The third proportional to 226,963.13 and 341,424 is: 513,609.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,963.13 : 341,424 = 341,424 : x
  2. Step 2: Convert to fraction form
    226,963.13/341,424 = 341,424/x
  3. Step 3: Cross multiply
    226,963.13x = 341,424 × 341,424
  4. Step 4: Simplify right side
    226,963.13x = 116,570,347,776
  5. Step 5: Solve for x
    x = 116,570,347,776/226,963.13
  6. Step 6: Final answer
    x = 513,609.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.