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Finding the Third Proportional to 176,201.34 and 268,432.78

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Solution

The third proportional to 176,201.34 and 268,432.78 is: 408,942.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,201.34 : 268,432.78 = 268,432.78 : x
  2. Step 2: Convert to fraction form
    176,201.34/268,432.78 = 268,432.78/x
  3. Step 3: Cross multiply
    176,201.34x = 268,432.78 × 268,432.78
  4. Step 4: Simplify right side
    176,201.34x = 72,056,158,049.61
  5. Step 5: Solve for x
    x = 72,056,158,049.61/176,201.34
  6. Step 6: Final answer
    x = 408,942.16

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.