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Finding the Third Proportional to 82,432 and 176,525

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Solution

The third proportional to 82,432 and 176,525 is: 378,021.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,432 : 176,525 = 176,525 : x
  2. Step 2: Convert to fraction form
    82,432/176,525 = 176,525/x
  3. Step 3: Cross multiply
    82,432x = 176,525 × 176,525
  4. Step 4: Simplify right side
    82,432x = 31,161,075,625
  5. Step 5: Solve for x
    x = 31,161,075,625/82,432
  6. Step 6: Final answer
    x = 378,021.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.