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Finding the Third Proportional to 151,056.75 and 211,751.25

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Solution

The third proportional to 151,056.75 and 211,751.25 is: 296,832.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,056.75 : 211,751.25 = 211,751.25 : x
  2. Step 2: Convert to fraction form
    151,056.75/211,751.25 = 211,751.25/x
  3. Step 3: Cross multiply
    151,056.75x = 211,751.25 × 211,751.25
  4. Step 4: Simplify right side
    151,056.75x = 44,838,591,876.56
  5. Step 5: Solve for x
    x = 44,838,591,876.56/151,056.75
  6. Step 6: Final answer
    x = 296,832.76

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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.