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Finding the Third Proportional to 186,010.38 and 278,291.64

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Solution

The third proportional to 186,010.38 and 278,291.64 is: 416,354.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,010.38 : 278,291.64 = 278,291.64 : x
  2. Step 2: Convert to fraction form
    186,010.38/278,291.64 = 278,291.64/x
  3. Step 3: Cross multiply
    186,010.38x = 278,291.64 × 278,291.64
  4. Step 4: Simplify right side
    186,010.38x = 77,446,235,067.60
  5. Step 5: Solve for x
    x = 77,446,235,067.60/186,010.38
  6. Step 6: Final answer
    x = 416,354.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.