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Finding the Third Proportional to 178,422 and 244,657.50

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Solution

The third proportional to 178,422 and 244,657.50 is: 335,481.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,422 : 244,657.50 = 244,657.50 : x
  2. Step 2: Convert to fraction form
    178,422/244,657.50 = 244,657.50/x
  3. Step 3: Cross multiply
    178,422x = 244,657.50 × 244,657.50
  4. Step 4: Simplify right side
    178,422x = 59,857,292,306.25
  5. Step 5: Solve for x
    x = 59,857,292,306.25/178,422
  6. Step 6: Final answer
    x = 335,481.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.