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Finding the Third Proportional to 151,314.75 and 327,678.75

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Solution

The third proportional to 151,314.75 and 327,678.75 is: 709,602.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,314.75 : 327,678.75 = 327,678.75 : x
  2. Step 2: Convert to fraction form
    151,314.75/327,678.75 = 327,678.75/x
  3. Step 3: Cross multiply
    151,314.75x = 327,678.75 × 327,678.75
  4. Step 4: Simplify right side
    151,314.75x = 107,373,363,201.56
  5. Step 5: Solve for x
    x = 107,373,363,201.56/151,314.75
  6. Step 6: Final answer
    x = 709,602.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.