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Finding the Third Proportional to 216,954.50 and 467,212

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Solution

The third proportional to 216,954.50 and 467,212 is: 1,006,142.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,954.50 : 467,212 = 467,212 : x
  2. Step 2: Convert to fraction form
    216,954.50/467,212 = 467,212/x
  3. Step 3: Cross multiply
    216,954.50x = 467,212 × 467,212
  4. Step 4: Simplify right side
    216,954.50x = 218,287,052,944
  5. Step 5: Solve for x
    x = 218,287,052,944/216,954.50
  6. Step 6: Final answer
    x = 1,006,142.08

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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.