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Finding the Third Proportional to 185,726 and 262,551

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Solution

The third proportional to 185,726 and 262,551 is: 371,154.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,726 : 262,551 = 262,551 : x
  2. Step 2: Convert to fraction form
    185,726/262,551 = 262,551/x
  3. Step 3: Cross multiply
    185,726x = 262,551 × 262,551
  4. Step 4: Simplify right side
    185,726x = 68,933,027,601
  5. Step 5: Solve for x
    x = 68,933,027,601/185,726
  6. Step 6: Final answer
    x = 371,154.43

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.