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Finding the Third Proportional to 186,310.13 and 404,126.72

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Solution

The third proportional to 186,310.13 and 404,126.72 is: 876,594.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,310.13 : 404,126.72 = 404,126.72 : x
  2. Step 2: Convert to fraction form
    186,310.13/404,126.72 = 404,126.72/x
  3. Step 3: Cross multiply
    186,310.13x = 404,126.72 × 404,126.72
  4. Step 4: Simplify right side
    186,310.13x = 163,318,404,807.64
  5. Step 5: Solve for x
    x = 163,318,404,807.64/186,310.13
  6. Step 6: Final answer
    x = 876,594.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.