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Finding the Third Proportional to 100,351 and 155,468

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Solution

The third proportional to 100,351 and 155,468 is: 240,857.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,351 : 155,468 = 155,468 : x
  2. Step 2: Convert to fraction form
    100,351/155,468 = 155,468/x
  3. Step 3: Cross multiply
    100,351x = 155,468 × 155,468
  4. Step 4: Simplify right side
    100,351x = 24,170,299,024
  5. Step 5: Solve for x
    x = 24,170,299,024/100,351
  6. Step 6: Final answer
    x = 240,857.58

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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.