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Finding the Third Proportional to 82,235.25 and 170,934.47

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Solution

The third proportional to 82,235.25 and 170,934.47 is: 355,304.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,235.25 : 170,934.47 = 170,934.47 : x
  2. Step 2: Convert to fraction form
    82,235.25/170,934.47 = 170,934.47/x
  3. Step 3: Cross multiply
    82,235.25x = 170,934.47 × 170,934.47
  4. Step 4: Simplify right side
    82,235.25x = 29,218,592,606.84
  5. Step 5: Solve for x
    x = 29,218,592,606.84/82,235.25
  6. Step 6: Final answer
    x = 355,304.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.