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Finding the Third Proportional to 148,807 and 224,551

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Solution

The third proportional to 148,807 and 224,551 is: 338,849.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,807 : 224,551 = 224,551 : x
  2. Step 2: Convert to fraction form
    148,807/224,551 = 224,551/x
  3. Step 3: Cross multiply
    148,807x = 224,551 × 224,551
  4. Step 4: Simplify right side
    148,807x = 50,423,151,601
  5. Step 5: Solve for x
    x = 50,423,151,601/148,807
  6. Step 6: Final answer
    x = 338,849.33

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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.