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Finding the Third Proportional to 187,304 and 414,000

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Solution

The third proportional to 187,304 and 414,000 is: 915,068.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,304 : 414,000 = 414,000 : x
  2. Step 2: Convert to fraction form
    187,304/414,000 = 414,000/x
  3. Step 3: Cross multiply
    187,304x = 414,000 × 414,000
  4. Step 4: Simplify right side
    187,304x = 171,396,000,000
  5. Step 5: Solve for x
    x = 171,396,000,000/187,304
  6. Step 6: Final answer
    x = 915,068.55

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.