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Finding the Third Proportional to 153,200.25 and 327,444.75

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Solution

The third proportional to 153,200.25 and 327,444.75 is: 699,868.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,200.25 : 327,444.75 = 327,444.75 : x
  2. Step 2: Convert to fraction form
    153,200.25/327,444.75 = 327,444.75/x
  3. Step 3: Cross multiply
    153,200.25x = 327,444.75 × 327,444.75
  4. Step 4: Simplify right side
    153,200.25x = 107,220,064,302.56
  5. Step 5: Solve for x
    x = 107,220,064,302.56/153,200.25
  6. Step 6: Final answer
    x = 699,868.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.