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Finding the Third Proportional to 116,934 and 182,246

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Solution

The third proportional to 116,934 and 182,246 is: 284,037.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,934 : 182,246 = 182,246 : x
  2. Step 2: Convert to fraction form
    116,934/182,246 = 182,246/x
  3. Step 3: Cross multiply
    116,934x = 182,246 × 182,246
  4. Step 4: Simplify right side
    116,934x = 33,213,604,516
  5. Step 5: Solve for x
    x = 33,213,604,516/116,934
  6. Step 6: Final answer
    x = 284,037.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.