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Finding the Third Proportional to 151,335.84 and 227,362.57

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Solution

The third proportional to 151,335.84 and 227,362.57 is: 341,582.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,335.84 : 227,362.57 = 227,362.57 : x
  2. Step 2: Convert to fraction form
    151,335.84/227,362.57 = 227,362.57/x
  3. Step 3: Cross multiply
    151,335.84x = 227,362.57 × 227,362.57
  4. Step 4: Simplify right side
    151,335.84x = 51,693,738,379.11
  5. Step 5: Solve for x
    x = 51,693,738,379.11/151,335.84
  6. Step 6: Final answer
    x = 341,582.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.