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Finding the Third Proportional to 134,385 and 282,561

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Solution

The third proportional to 134,385 and 282,561 is: 594,119.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,385 : 282,561 = 282,561 : x
  2. Step 2: Convert to fraction form
    134,385/282,561 = 282,561/x
  3. Step 3: Cross multiply
    134,385x = 282,561 × 282,561
  4. Step 4: Simplify right side
    134,385x = 79,840,718,721
  5. Step 5: Solve for x
    x = 79,840,718,721/134,385
  6. Step 6: Final answer
    x = 594,119.27

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.