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Finding the Third Proportional to 161,801 and 253,265

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Solution

The third proportional to 161,801 and 253,265 is: 396,432.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,801 : 253,265 = 253,265 : x
  2. Step 2: Convert to fraction form
    161,801/253,265 = 253,265/x
  3. Step 3: Cross multiply
    161,801x = 253,265 × 253,265
  4. Step 4: Simplify right side
    161,801x = 64,143,160,225
  5. Step 5: Solve for x
    x = 64,143,160,225/161,801
  6. Step 6: Final answer
    x = 396,432.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.