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Finding the Third Proportional to 146,280 and 218,463

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Solution

The third proportional to 146,280 and 218,463 is: 326,265.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,280 : 218,463 = 218,463 : x
  2. Step 2: Convert to fraction form
    146,280/218,463 = 218,463/x
  3. Step 3: Cross multiply
    146,280x = 218,463 × 218,463
  4. Step 4: Simplify right side
    146,280x = 47,726,082,369
  5. Step 5: Solve for x
    x = 47,726,082,369/146,280
  6. Step 6: Final answer
    x = 326,265.26

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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.