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Finding the Third Proportional to 107,918 and 237,251

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Solution

The third proportional to 107,918 and 237,251 is: 521,581.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,918 : 237,251 = 237,251 : x
  2. Step 2: Convert to fraction form
    107,918/237,251 = 237,251/x
  3. Step 3: Cross multiply
    107,918x = 237,251 × 237,251
  4. Step 4: Simplify right side
    107,918x = 56,288,037,001
  5. Step 5: Solve for x
    x = 56,288,037,001/107,918
  6. Step 6: Final answer
    x = 521,581.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.