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Finding the Third Proportional to 110,295 and 237,228.75

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Solution

The third proportional to 110,295 and 237,228.75 is: 510,245.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,295 : 237,228.75 = 237,228.75 : x
  2. Step 2: Convert to fraction form
    110,295/237,228.75 = 237,228.75/x
  3. Step 3: Cross multiply
    110,295x = 237,228.75 × 237,228.75
  4. Step 4: Simplify right side
    110,295x = 56,277,479,826.56
  5. Step 5: Solve for x
    x = 56,277,479,826.56/110,295
  6. Step 6: Final answer
    x = 510,245.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.