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Finding the Third Proportional to 187,788 and 255,762

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Solution

The third proportional to 187,788 and 255,762 is: 348,340.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,788 : 255,762 = 255,762 : x
  2. Step 2: Convert to fraction form
    187,788/255,762 = 255,762/x
  3. Step 3: Cross multiply
    187,788x = 255,762 × 255,762
  4. Step 4: Simplify right side
    187,788x = 65,414,200,644
  5. Step 5: Solve for x
    x = 65,414,200,644/187,788
  6. Step 6: Final answer
    x = 348,340.69

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.