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Finding the Third Proportional to 158,034.50 and 244,539.75

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Solution

The third proportional to 158,034.50 and 244,539.75 is: 378,396.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,034.50 : 244,539.75 = 244,539.75 : x
  2. Step 2: Convert to fraction form
    158,034.50/244,539.75 = 244,539.75/x
  3. Step 3: Cross multiply
    158,034.50x = 244,539.75 × 244,539.75
  4. Step 4: Simplify right side
    158,034.50x = 59,799,689,330.06
  5. Step 5: Solve for x
    x = 59,799,689,330.06/158,034.50
  6. Step 6: Final answer
    x = 378,396.42

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Why These Related Problems?

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