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Finding the Third Proportional to 151,768.88 and 222,732.38

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Solution

The third proportional to 151,768.88 and 222,732.38 is: 326,876.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,768.88 : 222,732.38 = 222,732.38 : x
  2. Step 2: Convert to fraction form
    151,768.88/222,732.38 = 222,732.38/x
  3. Step 3: Cross multiply
    151,768.88x = 222,732.38 × 222,732.38
  4. Step 4: Simplify right side
    151,768.88x = 49,609,710,873.14
  5. Step 5: Solve for x
    x = 49,609,710,873.14/151,768.88
  6. Step 6: Final answer
    x = 326,876.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.