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Finding the Third Proportional to 186,488.74 and 281,290.06

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Solution

The third proportional to 186,488.74 and 281,290.06 is: 424,283.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,488.74 : 281,290.06 = 281,290.06 : x
  2. Step 2: Convert to fraction form
    186,488.74/281,290.06 = 281,290.06/x
  3. Step 3: Cross multiply
    186,488.74x = 281,290.06 × 281,290.06
  4. Step 4: Simplify right side
    186,488.74x = 79,124,098,162.47
  5. Step 5: Solve for x
    x = 79,124,098,162.47/186,488.74
  6. Step 6: Final answer
    x = 424,283.52

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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.