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Finding the Third Proportional to 159,972.75 and 350,076.38

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Solution

The third proportional to 159,972.75 and 350,076.38 is: 766,089.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,972.75 : 350,076.38 = 350,076.38 : x
  2. Step 2: Convert to fraction form
    159,972.75/350,076.38 = 350,076.38/x
  3. Step 3: Cross multiply
    159,972.75x = 350,076.38 × 350,076.38
  4. Step 4: Simplify right side
    159,972.75x = 122,553,468,333.14
  5. Step 5: Solve for x
    x = 122,553,468,333.14/159,972.75
  6. Step 6: Final answer
    x = 766,089.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.