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Finding the Third Proportional to 121,474 and 266,348

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Solution

The third proportional to 121,474 and 266,348 is: 584,003.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,474 : 266,348 = 266,348 : x
  2. Step 2: Convert to fraction form
    121,474/266,348 = 266,348/x
  3. Step 3: Cross multiply
    121,474x = 266,348 × 266,348
  4. Step 4: Simplify right side
    121,474x = 70,941,257,104
  5. Step 5: Solve for x
    x = 70,941,257,104/121,474
  6. Step 6: Final answer
    x = 584,003.63

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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.