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Finding the Third Proportional to 116,730 and 227,626

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Solution

The third proportional to 116,730 and 227,626 is: 443,875.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,730 : 227,626 = 227,626 : x
  2. Step 2: Convert to fraction form
    116,730/227,626 = 227,626/x
  3. Step 3: Cross multiply
    116,730x = 227,626 × 227,626
  4. Step 4: Simplify right side
    116,730x = 51,813,595,876
  5. Step 5: Solve for x
    x = 51,813,595,876/116,730
  6. Step 6: Final answer
    x = 443,875.58

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.