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Finding the Third Proportional to 192,657 and 255,708

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Solution

The third proportional to 192,657 and 255,708 is: 339,393.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,657 : 255,708 = 255,708 : x
  2. Step 2: Convert to fraction form
    192,657/255,708 = 255,708/x
  3. Step 3: Cross multiply
    192,657x = 255,708 × 255,708
  4. Step 4: Simplify right side
    192,657x = 65,386,581,264
  5. Step 5: Solve for x
    x = 65,386,581,264/192,657
  6. Step 6: Final answer
    x = 339,393.75

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.