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Finding the Third Proportional to 121,488 and 266,372

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Solution

The third proportional to 121,488 and 266,372 is: 584,041.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,488 : 266,372 = 266,372 : x
  2. Step 2: Convert to fraction form
    121,488/266,372 = 266,372/x
  3. Step 3: Cross multiply
    121,488x = 266,372 × 266,372
  4. Step 4: Simplify right side
    121,488x = 70,954,042,384
  5. Step 5: Solve for x
    x = 70,954,042,384/121,488
  6. Step 6: Final answer
    x = 584,041.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.