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Finding the Third Proportional to 151,206.75 and 280,270.13

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Solution

The third proportional to 151,206.75 and 280,270.13 is: 519,496.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,206.75 : 280,270.13 = 280,270.13 : x
  2. Step 2: Convert to fraction form
    151,206.75/280,270.13 = 280,270.13/x
  3. Step 3: Cross multiply
    151,206.75x = 280,270.13 × 280,270.13
  4. Step 4: Simplify right side
    151,206.75x = 78,551,342,967.52
  5. Step 5: Solve for x
    x = 78,551,342,967.52/151,206.75
  6. Step 6: Final answer
    x = 519,496.27

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.