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Finding the Third Proportional to 120,631 and 254,870

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Solution

The third proportional to 120,631 and 254,870 is: 538,491.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,631 : 254,870 = 254,870 : x
  2. Step 2: Convert to fraction form
    120,631/254,870 = 254,870/x
  3. Step 3: Cross multiply
    120,631x = 254,870 × 254,870
  4. Step 4: Simplify right side
    120,631x = 64,958,716,900
  5. Step 5: Solve for x
    x = 64,958,716,900/120,631
  6. Step 6: Final answer
    x = 538,491.08

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.