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Finding the Third Proportional to 251,304 and 377,496

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Solution

The third proportional to 251,304 and 377,496 is: 567,055.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,304 : 377,496 = 377,496 : x
  2. Step 2: Convert to fraction form
    251,304/377,496 = 377,496/x
  3. Step 3: Cross multiply
    251,304x = 377,496 × 377,496
  4. Step 4: Simplify right side
    251,304x = 142,503,230,016
  5. Step 5: Solve for x
    x = 142,503,230,016/251,304
  6. Step 6: Final answer
    x = 567,055.16

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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.