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Finding the Third Proportional to 193,467 and 217,456.50

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Solution

The third proportional to 193,467 and 217,456.50 is: 244,420.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,467 : 217,456.50 = 217,456.50 : x
  2. Step 2: Convert to fraction form
    193,467/217,456.50 = 217,456.50/x
  3. Step 3: Cross multiply
    193,467x = 217,456.50 × 217,456.50
  4. Step 4: Simplify right side
    193,467x = 47,287,329,392.25
  5. Step 5: Solve for x
    x = 47,287,329,392.25/193,467
  6. Step 6: Final answer
    x = 244,420.65

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.