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Finding the Third Proportional to 136,219.50 and 327,253.50

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Solution

The third proportional to 136,219.50 and 327,253.50 is: 786,193.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,219.50 : 327,253.50 = 327,253.50 : x
  2. Step 2: Convert to fraction form
    136,219.50/327,253.50 = 327,253.50/x
  3. Step 3: Cross multiply
    136,219.50x = 327,253.50 × 327,253.50
  4. Step 4: Simplify right side
    136,219.50x = 107,094,853,262.25
  5. Step 5: Solve for x
    x = 107,094,853,262.25/136,219.50
  6. Step 6: Final answer
    x = 786,193.26

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.