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Finding the Third Proportional to 195,272 and 425,320

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Solution

The third proportional to 195,272 and 425,320 is: 926,385.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,272 : 425,320 = 425,320 : x
  2. Step 2: Convert to fraction form
    195,272/425,320 = 425,320/x
  3. Step 3: Cross multiply
    195,272x = 425,320 × 425,320
  4. Step 4: Simplify right side
    195,272x = 180,897,102,400
  5. Step 5: Solve for x
    x = 180,897,102,400/195,272
  6. Step 6: Final answer
    x = 926,385.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.