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Finding the Third Proportional to 186,491.25 and 281,293.88

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Solution

The third proportional to 186,491.25 and 281,293.88 is: 424,289.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,491.25 : 281,293.88 = 281,293.88 : x
  2. Step 2: Convert to fraction form
    186,491.25/281,293.88 = 281,293.88/x
  3. Step 3: Cross multiply
    186,491.25x = 281,293.88 × 281,293.88
  4. Step 4: Simplify right side
    186,491.25x = 79,126,244,112.52
  5. Step 5: Solve for x
    x = 79,126,244,112.52/186,491.25
  6. Step 6: Final answer
    x = 424,289.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.