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Finding the Third Proportional to 107,289 and 230,940

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Solution

The third proportional to 107,289 and 230,940 is: 497,099.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,289 : 230,940 = 230,940 : x
  2. Step 2: Convert to fraction form
    107,289/230,940 = 230,940/x
  3. Step 3: Cross multiply
    107,289x = 230,940 × 230,940
  4. Step 4: Simplify right side
    107,289x = 53,333,283,600
  5. Step 5: Solve for x
    x = 53,333,283,600/107,289
  6. Step 6: Final answer
    x = 497,099.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.