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Finding the Third Proportional to 151,284.75 and 205,560.75

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Solution

The third proportional to 151,284.75 and 205,560.75 is: 279,309.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,284.75 : 205,560.75 = 205,560.75 : x
  2. Step 2: Convert to fraction form
    151,284.75/205,560.75 = 205,560.75/x
  3. Step 3: Cross multiply
    151,284.75x = 205,560.75 × 205,560.75
  4. Step 4: Simplify right side
    151,284.75x = 42,255,221,940.56
  5. Step 5: Solve for x
    x = 42,255,221,940.56/151,284.75
  6. Step 6: Final answer
    x = 279,309.20

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.