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Finding the Third Proportional to 183,691.75 and 278,305.50

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Solution

The third proportional to 183,691.75 and 278,305.50 is: 421,651.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,691.75 : 278,305.50 = 278,305.50 : x
  2. Step 2: Convert to fraction form
    183,691.75/278,305.50 = 278,305.50/x
  3. Step 3: Cross multiply
    183,691.75x = 278,305.50 × 278,305.50
  4. Step 4: Simplify right side
    183,691.75x = 77,453,951,330.25
  5. Step 5: Solve for x
    x = 77,453,951,330.25/183,691.75
  6. Step 6: Final answer
    x = 421,651.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.