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Finding the Third Proportional to 110,771 and 237,292

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Solution

The third proportional to 110,771 and 237,292 is: 508,323.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,771 : 237,292 = 237,292 : x
  2. Step 2: Convert to fraction form
    110,771/237,292 = 237,292/x
  3. Step 3: Cross multiply
    110,771x = 237,292 × 237,292
  4. Step 4: Simplify right side
    110,771x = 56,307,493,264
  5. Step 5: Solve for x
    x = 56,307,493,264/110,771
  6. Step 6: Final answer
    x = 508,323.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.