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Finding the Third Proportional to 164,472.47 and 247,923.56

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Solution

The third proportional to 164,472.47 and 247,923.56 is: 373,716.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,472.47 : 247,923.56 = 247,923.56 : x
  2. Step 2: Convert to fraction form
    164,472.47/247,923.56 = 247,923.56/x
  3. Step 3: Cross multiply
    164,472.47x = 247,923.56 × 247,923.56
  4. Step 4: Simplify right side
    164,472.47x = 61,466,092,842.69
  5. Step 5: Solve for x
    x = 61,466,092,842.69/164,472.47
  6. Step 6: Final answer
    x = 373,716.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.