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Finding the Third Proportional to 151,812.35 and 226,882.27

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Solution

The third proportional to 151,812.35 and 226,882.27 is: 339,073.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,812.35 : 226,882.27 = 226,882.27 : x
  2. Step 2: Convert to fraction form
    151,812.35/226,882.27 = 226,882.27/x
  3. Step 3: Cross multiply
    151,812.35x = 226,882.27 × 226,882.27
  4. Step 4: Simplify right side
    151,812.35x = 51,475,562,455.13
  5. Step 5: Solve for x
    x = 51,475,562,455.13/151,812.35
  6. Step 6: Final answer
    x = 339,073.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.