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Finding the Third Proportional to 121,703 and 266,311

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Solution

The third proportional to 121,703 and 266,311 is: 582,742.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,703 : 266,311 = 266,311 : x
  2. Step 2: Convert to fraction form
    121,703/266,311 = 266,311/x
  3. Step 3: Cross multiply
    121,703x = 266,311 × 266,311
  4. Step 4: Simplify right side
    121,703x = 70,921,548,721
  5. Step 5: Solve for x
    x = 70,921,548,721/121,703
  6. Step 6: Final answer
    x = 582,742.81

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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.