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Finding the Third Proportional to 121,459 and 266,831

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Solution

The third proportional to 121,459 and 266,831 is: 586,196.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,459 : 266,831 = 266,831 : x
  2. Step 2: Convert to fraction form
    121,459/266,831 = 266,831/x
  3. Step 3: Cross multiply
    121,459x = 266,831 × 266,831
  4. Step 4: Simplify right side
    121,459x = 71,198,782,561
  5. Step 5: Solve for x
    x = 71,198,782,561/121,459
  6. Step 6: Final answer
    x = 586,196.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.