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Finding the Third Proportional to 157,656 and 244,789.50

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Solution

The third proportional to 157,656 and 244,789.50 is: 380,080.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,656 : 244,789.50 = 244,789.50 : x
  2. Step 2: Convert to fraction form
    157,656/244,789.50 = 244,789.50/x
  3. Step 3: Cross multiply
    157,656x = 244,789.50 × 244,789.50
  4. Step 4: Simplify right side
    157,656x = 59,921,899,310.25
  5. Step 5: Solve for x
    x = 59,921,899,310.25/157,656
  6. Step 6: Final answer
    x = 380,080.04

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.