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Finding the Third Proportional to 82,344 and 170,502

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Solution

The third proportional to 82,344 and 170,502 is: 353,042.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,344 : 170,502 = 170,502 : x
  2. Step 2: Convert to fraction form
    82,344/170,502 = 170,502/x
  3. Step 3: Cross multiply
    82,344x = 170,502 × 170,502
  4. Step 4: Simplify right side
    82,344x = 29,070,932,004
  5. Step 5: Solve for x
    x = 29,070,932,004/82,344
  6. Step 6: Final answer
    x = 353,042.50

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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.