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Finding the Third Proportional to 154,586 and 325,780

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Solution

The third proportional to 154,586 and 325,780 is: 686,560.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,586 : 325,780 = 325,780 : x
  2. Step 2: Convert to fraction form
    154,586/325,780 = 325,780/x
  3. Step 3: Cross multiply
    154,586x = 325,780 × 325,780
  4. Step 4: Simplify right side
    154,586x = 106,132,608,400
  5. Step 5: Solve for x
    x = 106,132,608,400/154,586
  6. Step 6: Final answer
    x = 686,560.29

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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.