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Finding the Third Proportional to 107,876 and 236,488

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Solution

The third proportional to 107,876 and 236,488 is: 518,433.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,876 : 236,488 = 236,488 : x
  2. Step 2: Convert to fraction form
    107,876/236,488 = 236,488/x
  3. Step 3: Cross multiply
    107,876x = 236,488 × 236,488
  4. Step 4: Simplify right side
    107,876x = 55,926,574,144
  5. Step 5: Solve for x
    x = 55,926,574,144/107,876
  6. Step 6: Final answer
    x = 518,433.89

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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.