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Finding the Third Proportional to 109,658.50 and 227,933

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Solution

The third proportional to 109,658.50 and 227,933 is: 473,774.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,658.50 : 227,933 = 227,933 : x
  2. Step 2: Convert to fraction form
    109,658.50/227,933 = 227,933/x
  3. Step 3: Cross multiply
    109,658.50x = 227,933 × 227,933
  4. Step 4: Simplify right side
    109,658.50x = 51,953,452,489
  5. Step 5: Solve for x
    x = 51,953,452,489/109,658.50
  6. Step 6: Final answer
    x = 473,774.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.