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Finding the Third Proportional to 216,976.50 and 467,248.50

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Solution

The third proportional to 216,976.50 and 467,248.50 is: 1,006,197.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,976.50 : 467,248.50 = 467,248.50 : x
  2. Step 2: Convert to fraction form
    216,976.50/467,248.50 = 467,248.50/x
  3. Step 3: Cross multiply
    216,976.50x = 467,248.50 × 467,248.50
  4. Step 4: Simplify right side
    216,976.50x = 218,321,160,752.25
  5. Step 5: Solve for x
    x = 218,321,160,752.25/216,976.50
  6. Step 6: Final answer
    x = 1,006,197.26

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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.