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Finding the Third Proportional to 168,019.50 and 266,180

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Solution

The third proportional to 168,019.50 and 266,180 is: 421,687.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,019.50 : 266,180 = 266,180 : x
  2. Step 2: Convert to fraction form
    168,019.50/266,180 = 266,180/x
  3. Step 3: Cross multiply
    168,019.50x = 266,180 × 266,180
  4. Step 4: Simplify right side
    168,019.50x = 70,851,792,400
  5. Step 5: Solve for x
    x = 70,851,792,400/168,019.50
  6. Step 6: Final answer
    x = 421,687.91

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.