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Finding the Third Proportional to 151,065.75 and 211,764.75

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Solution

The third proportional to 151,065.75 and 211,764.75 is: 296,852.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,065.75 : 211,764.75 = 211,764.75 : x
  2. Step 2: Convert to fraction form
    151,065.75/211,764.75 = 211,764.75/x
  3. Step 3: Cross multiply
    151,065.75x = 211,764.75 × 211,764.75
  4. Step 4: Simplify right side
    151,065.75x = 44,844,309,342.56
  5. Step 5: Solve for x
    x = 44,844,309,342.56/151,065.75
  6. Step 6: Final answer
    x = 296,852.92

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.