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Finding the Third Proportional to 170,540 and 255,810

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Solution

The third proportional to 170,540 and 255,810 is: 383,715

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,540 : 255,810 = 255,810 : x
  2. Step 2: Convert to fraction form
    170,540/255,810 = 255,810/x
  3. Step 3: Cross multiply
    170,540x = 255,810 × 255,810
  4. Step 4: Simplify right side
    170,540x = 65,438,756,100
  5. Step 5: Solve for x
    x = 65,438,756,100/170,540
  6. Step 6: Final answer
    x = 383,715

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.