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Finding the Third Proportional to 186,911.61 and 411,190.17

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Solution

The third proportional to 186,911.61 and 411,190.17 is: 904,584.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,911.61 : 411,190.17 = 411,190.17 : x
  2. Step 2: Convert to fraction form
    186,911.61/411,190.17 = 411,190.17/x
  3. Step 3: Cross multiply
    186,911.61x = 411,190.17 × 411,190.17
  4. Step 4: Simplify right side
    186,911.61x = 169,077,357,446.59
  5. Step 5: Solve for x
    x = 169,077,357,446.59/186,911.61
  6. Step 6: Final answer
    x = 904,584.55

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Why These Related Problems?

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