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Finding the Third Proportional to 107,655 and 251,451

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Solution

The third proportional to 107,655 and 251,451 is: 587,316.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,655 : 251,451 = 251,451 : x
  2. Step 2: Convert to fraction form
    107,655/251,451 = 251,451/x
  3. Step 3: Cross multiply
    107,655x = 251,451 × 251,451
  4. Step 4: Simplify right side
    107,655x = 63,227,605,401
  5. Step 5: Solve for x
    x = 63,227,605,401/107,655
  6. Step 6: Final answer
    x = 587,316.94

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.