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Finding the Third Proportional to 121,932 and 266,208

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Solution

The third proportional to 121,932 and 266,208 is: 581,198.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,932 : 266,208 = 266,208 : x
  2. Step 2: Convert to fraction form
    121,932/266,208 = 266,208/x
  3. Step 3: Cross multiply
    121,932x = 266,208 × 266,208
  4. Step 4: Simplify right side
    121,932x = 70,866,699,264
  5. Step 5: Solve for x
    x = 70,866,699,264/121,932
  6. Step 6: Final answer
    x = 581,198.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.