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Finding the Third Proportional to 171,320.06 and 252,013.78

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Solution

The third proportional to 171,320.06 and 252,013.78 is: 370,715.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,320.06 : 252,013.78 = 252,013.78 : x
  2. Step 2: Convert to fraction form
    171,320.06/252,013.78 = 252,013.78/x
  3. Step 3: Cross multiply
    171,320.06x = 252,013.78 × 252,013.78
  4. Step 4: Simplify right side
    171,320.06x = 63,510,945,939.92
  5. Step 5: Solve for x
    x = 63,510,945,939.92/171,320.06
  6. Step 6: Final answer
    x = 370,715.17

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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.