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Finding the Third Proportional to 83,528 and 176,372

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Solution

The third proportional to 83,528 and 176,372 is: 372,415.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,528 : 176,372 = 176,372 : x
  2. Step 2: Convert to fraction form
    83,528/176,372 = 176,372/x
  3. Step 3: Cross multiply
    83,528x = 176,372 × 176,372
  4. Step 4: Simplify right side
    83,528x = 31,107,082,384
  5. Step 5: Solve for x
    x = 31,107,082,384/83,528
  6. Step 6: Final answer
    x = 372,415.03

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.