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Finding the Third Proportional to 186,937.88 and 411,257.25

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Solution

The third proportional to 186,937.88 and 411,257.25 is: 904,752.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,937.88 : 411,257.25 = 411,257.25 : x
  2. Step 2: Convert to fraction form
    186,937.88/411,257.25 = 411,257.25/x
  3. Step 3: Cross multiply
    186,937.88x = 411,257.25 × 411,257.25
  4. Step 4: Simplify right side
    186,937.88x = 169,132,525,677.56
  5. Step 5: Solve for x
    x = 169,132,525,677.56/186,937.88
  6. Step 6: Final answer
    x = 904,752.59

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.