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Finding the Third Proportional to 158,780.25 and 246,918.38

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Solution

The third proportional to 158,780.25 and 246,918.38 is: 383,981.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,780.25 : 246,918.38 = 246,918.38 : x
  2. Step 2: Convert to fraction form
    158,780.25/246,918.38 = 246,918.38/x
  3. Step 3: Cross multiply
    158,780.25x = 246,918.38 × 246,918.38
  4. Step 4: Simplify right side
    158,780.25x = 60,968,683,912.64
  5. Step 5: Solve for x
    x = 60,968,683,912.64/158,780.25
  6. Step 6: Final answer
    x = 383,981.53

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.