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Finding the Third Proportional to 182,217 and 282,861

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Solution

The third proportional to 182,217 and 282,861 is: 439,093.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,217 : 282,861 = 282,861 : x
  2. Step 2: Convert to fraction form
    182,217/282,861 = 282,861/x
  3. Step 3: Cross multiply
    182,217x = 282,861 × 282,861
  4. Step 4: Simplify right side
    182,217x = 80,010,345,321
  5. Step 5: Solve for x
    x = 80,010,345,321/182,217
  6. Step 6: Final answer
    x = 439,093.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.