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Finding the Third Proportional to 171,806 and 252,558

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Solution

The third proportional to 171,806 and 252,558 is: 371,264.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,806 : 252,558 = 252,558 : x
  2. Step 2: Convert to fraction form
    171,806/252,558 = 252,558/x
  3. Step 3: Cross multiply
    171,806x = 252,558 × 252,558
  4. Step 4: Simplify right side
    171,806x = 63,785,543,364
  5. Step 5: Solve for x
    x = 63,785,543,364/171,806
  6. Step 6: Final answer
    x = 371,264.93

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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.