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Finding the Third Proportional to 70,306.73 and 151,662.38

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Solution

The third proportional to 70,306.73 and 151,662.38 is: 327,158.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,306.73 : 151,662.38 = 151,662.38 : x
  2. Step 2: Convert to fraction form
    70,306.73/151,662.38 = 151,662.38/x
  3. Step 3: Cross multiply
    70,306.73x = 151,662.38 × 151,662.38
  4. Step 4: Simplify right side
    70,306.73x = 23,001,475,990.64
  5. Step 5: Solve for x
    x = 23,001,475,990.64/70,306.73
  6. Step 6: Final answer
    x = 327,158.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.