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Finding the Third Proportional to 178,531.50 and 244,809

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Solution

The third proportional to 178,531.50 and 244,809 is: 335,691.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,531.50 : 244,809 = 244,809 : x
  2. Step 2: Convert to fraction form
    178,531.50/244,809 = 244,809/x
  3. Step 3: Cross multiply
    178,531.50x = 244,809 × 244,809
  4. Step 4: Simplify right side
    178,531.50x = 59,931,446,481
  5. Step 5: Solve for x
    x = 59,931,446,481/178,531.50
  6. Step 6: Final answer
    x = 335,691.16

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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.