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Finding the Third Proportional to 82,342 and 170,498

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Solution

The third proportional to 82,342 and 170,498 is: 353,034.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,342 : 170,498 = 170,498 : x
  2. Step 2: Convert to fraction form
    82,342/170,498 = 170,498/x
  3. Step 3: Cross multiply
    82,342x = 170,498 × 170,498
  4. Step 4: Simplify right side
    82,342x = 29,069,568,004
  5. Step 5: Solve for x
    x = 29,069,568,004/82,342
  6. Step 6: Final answer
    x = 353,034.51

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.