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Finding the Third Proportional to 70,324.50 and 151,644.75

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Solution

The third proportional to 70,324.50 and 151,644.75 is: 327,000.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,324.50 : 151,644.75 = 151,644.75 : x
  2. Step 2: Convert to fraction form
    70,324.50/151,644.75 = 151,644.75/x
  3. Step 3: Cross multiply
    70,324.50x = 151,644.75 × 151,644.75
  4. Step 4: Simplify right side
    70,324.50x = 22,996,130,202.56
  5. Step 5: Solve for x
    x = 22,996,130,202.56/70,324.50
  6. Step 6: Final answer
    x = 327,000.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.