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Finding the Third Proportional to 82,248 and 175,580

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Solution

The third proportional to 82,248 and 175,580 is: 374,821.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,248 : 175,580 = 175,580 : x
  2. Step 2: Convert to fraction form
    82,248/175,580 = 175,580/x
  3. Step 3: Cross multiply
    82,248x = 175,580 × 175,580
  4. Step 4: Simplify right side
    82,248x = 30,828,336,400
  5. Step 5: Solve for x
    x = 30,828,336,400/82,248
  6. Step 6: Final answer
    x = 374,821.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.