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Finding the Third Proportional to 151,199.16 and 235,990.97

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Solution

The third proportional to 151,199.16 and 235,990.97 is: 368,333.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,199.16 : 235,990.97 = 235,990.97 : x
  2. Step 2: Convert to fraction form
    151,199.16/235,990.97 = 235,990.97/x
  3. Step 3: Cross multiply
    151,199.16x = 235,990.97 × 235,990.97
  4. Step 4: Simplify right side
    151,199.16x = 55,691,737,331.56
  5. Step 5: Solve for x
    x = 55,691,737,331.56/151,199.16
  6. Step 6: Final answer
    x = 368,333.65

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.