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Finding the Third Proportional to 187,527 and 290,450

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Solution

The third proportional to 187,527 and 290,450 is: 449,861.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,527 : 290,450 = 290,450 : x
  2. Step 2: Convert to fraction form
    187,527/290,450 = 290,450/x
  3. Step 3: Cross multiply
    187,527x = 290,450 × 290,450
  4. Step 4: Simplify right side
    187,527x = 84,361,202,500
  5. Step 5: Solve for x
    x = 84,361,202,500/187,527
  6. Step 6: Final answer
    x = 449,861.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.