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Finding the Third Proportional to 112,191.75 and 240,144.75

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Solution

The third proportional to 112,191.75 and 240,144.75 is: 514,026.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,191.75 : 240,144.75 = 240,144.75 : x
  2. Step 2: Convert to fraction form
    112,191.75/240,144.75 = 240,144.75/x
  3. Step 3: Cross multiply
    112,191.75x = 240,144.75 × 240,144.75
  4. Step 4: Simplify right side
    112,191.75x = 57,669,500,952.56
  5. Step 5: Solve for x
    x = 57,669,500,952.56/112,191.75
  6. Step 6: Final answer
    x = 514,026.22

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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.