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Finding the Third Proportional to 82,246 and 175,576

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Solution

The third proportional to 82,246 and 175,576 is: 374,813.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,246 : 175,576 = 175,576 : x
  2. Step 2: Convert to fraction form
    82,246/175,576 = 175,576/x
  3. Step 3: Cross multiply
    82,246x = 175,576 × 175,576
  4. Step 4: Simplify right side
    82,246x = 30,826,931,776
  5. Step 5: Solve for x
    x = 30,826,931,776/82,246
  6. Step 6: Final answer
    x = 374,813.75

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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.