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Finding the Third Proportional to 168,925.50 and 227,531.50

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Solution

The third proportional to 168,925.50 and 227,531.50 is: 306,469.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,925.50 : 227,531.50 = 227,531.50 : x
  2. Step 2: Convert to fraction form
    168,925.50/227,531.50 = 227,531.50/x
  3. Step 3: Cross multiply
    168,925.50x = 227,531.50 × 227,531.50
  4. Step 4: Simplify right side
    168,925.50x = 51,770,583,492.25
  5. Step 5: Solve for x
    x = 51,770,583,492.25/168,925.50
  6. Step 6: Final answer
    x = 306,469.91

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.