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Finding the Third Proportional to 155,160.75 and 208,098

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Solution

The third proportional to 155,160.75 and 208,098 is: 279,096.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,160.75 : 208,098 = 208,098 : x
  2. Step 2: Convert to fraction form
    155,160.75/208,098 = 208,098/x
  3. Step 3: Cross multiply
    155,160.75x = 208,098 × 208,098
  4. Step 4: Simplify right side
    155,160.75x = 43,304,777,604
  5. Step 5: Solve for x
    x = 43,304,777,604/155,160.75
  6. Step 6: Final answer
    x = 279,096.21

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.