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Finding the Third Proportional to 195,786 and 282,659

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Solution

The third proportional to 195,786 and 282,659 is: 408,078.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,786 : 282,659 = 282,659 : x
  2. Step 2: Convert to fraction form
    195,786/282,659 = 282,659/x
  3. Step 3: Cross multiply
    195,786x = 282,659 × 282,659
  4. Step 4: Simplify right side
    195,786x = 79,896,110,281
  5. Step 5: Solve for x
    x = 79,896,110,281/195,786
  6. Step 6: Final answer
    x = 408,078.77

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.