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Finding the Third Proportional to 148,815 and 224,566

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Solution

The third proportional to 148,815 and 224,566 is: 338,876.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,815 : 224,566 = 224,566 : x
  2. Step 2: Convert to fraction form
    148,815/224,566 = 224,566/x
  3. Step 3: Cross multiply
    148,815x = 224,566 × 224,566
  4. Step 4: Simplify right side
    148,815x = 50,429,888,356
  5. Step 5: Solve for x
    x = 50,429,888,356/148,815
  6. Step 6: Final answer
    x = 338,876.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.