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Finding the Third Proportional to 217,266.19 and 318,121.31

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Solution

The third proportional to 217,266.19 and 318,121.31 is: 465,793.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,266.19 : 318,121.31 = 318,121.31 : x
  2. Step 2: Convert to fraction form
    217,266.19/318,121.31 = 318,121.31/x
  3. Step 3: Cross multiply
    217,266.19x = 318,121.31 × 318,121.31
  4. Step 4: Simplify right side
    217,266.19x = 101,201,169,466.72
  5. Step 5: Solve for x
    x = 101,201,169,466.72/217,266.19
  6. Step 6: Final answer
    x = 465,793.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.