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Finding the Third Proportional to 148,084 and 220,398

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Solution

The third proportional to 148,084 and 220,398 is: 328,025.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,084 : 220,398 = 220,398 : x
  2. Step 2: Convert to fraction form
    148,084/220,398 = 220,398/x
  3. Step 3: Cross multiply
    148,084x = 220,398 × 220,398
  4. Step 4: Simplify right side
    148,084x = 48,575,278,404
  5. Step 5: Solve for x
    x = 48,575,278,404/148,084
  6. Step 6: Final answer
    x = 328,025.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.