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Finding the Third Proportional to 114,726 and 250,620

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Solution

The third proportional to 114,726 and 250,620 is: 547,481.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,726 : 250,620 = 250,620 : x
  2. Step 2: Convert to fraction form
    114,726/250,620 = 250,620/x
  3. Step 3: Cross multiply
    114,726x = 250,620 × 250,620
  4. Step 4: Simplify right side
    114,726x = 62,810,384,400
  5. Step 5: Solve for x
    x = 62,810,384,400/114,726
  6. Step 6: Final answer
    x = 547,481.69

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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.