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Finding the Third Proportional to 240,767 and 322,107

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Solution

The third proportional to 240,767 and 322,107 is: 430,926.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,767 : 322,107 = 322,107 : x
  2. Step 2: Convert to fraction form
    240,767/322,107 = 322,107/x
  3. Step 3: Cross multiply
    240,767x = 322,107 × 322,107
  4. Step 4: Simplify right side
    240,767x = 103,752,919,449
  5. Step 5: Solve for x
    x = 103,752,919,449/240,767
  6. Step 6: Final answer
    x = 430,926.66

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.