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Finding the Third Proportional to 216,293.50 and 465,866

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Solution

The third proportional to 216,293.50 and 465,866 is: 1,003,410.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,293.50 : 465,866 = 465,866 : x
  2. Step 2: Convert to fraction form
    216,293.50/465,866 = 465,866/x
  3. Step 3: Cross multiply
    216,293.50x = 465,866 × 465,866
  4. Step 4: Simplify right side
    216,293.50x = 217,031,129,956
  5. Step 5: Solve for x
    x = 217,031,129,956/216,293.50
  6. Step 6: Final answer
    x = 1,003,410.32

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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.