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Finding the Third Proportional to 100,353 and 155,471

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Solution

The third proportional to 100,353 and 155,471 is: 240,862.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,353 : 155,471 = 155,471 : x
  2. Step 2: Convert to fraction form
    100,353/155,471 = 155,471/x
  3. Step 3: Cross multiply
    100,353x = 155,471 × 155,471
  4. Step 4: Simplify right side
    100,353x = 24,171,231,841
  5. Step 5: Solve for x
    x = 24,171,231,841/100,353
  6. Step 6: Final answer
    x = 240,862.08

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.