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Finding the Third Proportional to 151,966.50 and 327,496.50

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Solution

The third proportional to 151,966.50 and 327,496.50 is: 705,773.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,966.50 : 327,496.50 = 327,496.50 : x
  2. Step 2: Convert to fraction form
    151,966.50/327,496.50 = 327,496.50/x
  3. Step 3: Cross multiply
    151,966.50x = 327,496.50 × 327,496.50
  4. Step 4: Simplify right side
    151,966.50x = 107,253,957,512.25
  5. Step 5: Solve for x
    x = 107,253,957,512.25/151,966.50
  6. Step 6: Final answer
    x = 705,773.69

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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.