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Finding the Third Proportional to 116,915 and 182,217

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Solution

The third proportional to 116,915 and 182,217 is: 283,992.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,915 : 182,217 = 182,217 : x
  2. Step 2: Convert to fraction form
    116,915/182,217 = 182,217/x
  3. Step 3: Cross multiply
    116,915x = 182,217 × 182,217
  4. Step 4: Simplify right side
    116,915x = 33,203,035,089
  5. Step 5: Solve for x
    x = 33,203,035,089/116,915
  6. Step 6: Final answer
    x = 283,992.94

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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.