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Finding the Third Proportional to 82,214 and 179,646

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Solution

The third proportional to 82,214 and 179,646 is: 392,544.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,214 : 179,646 = 179,646 : x
  2. Step 2: Convert to fraction form
    82,214/179,646 = 179,646/x
  3. Step 3: Cross multiply
    82,214x = 179,646 × 179,646
  4. Step 4: Simplify right side
    82,214x = 32,272,685,316
  5. Step 5: Solve for x
    x = 32,272,685,316/82,214
  6. Step 6: Final answer
    x = 392,544.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.