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Finding the Third Proportional to 132,304 and 284,576

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Solution

The third proportional to 132,304 and 284,576 is: 612,101.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,304 : 284,576 = 284,576 : x
  2. Step 2: Convert to fraction form
    132,304/284,576 = 284,576/x
  3. Step 3: Cross multiply
    132,304x = 284,576 × 284,576
  4. Step 4: Simplify right side
    132,304x = 80,983,499,776
  5. Step 5: Solve for x
    x = 80,983,499,776/132,304
  6. Step 6: Final answer
    x = 612,101.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.