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Finding the Third Proportional to 217,206 and 318,045

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Solution

The third proportional to 217,206 and 318,045 is: 465,699.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,206 : 318,045 = 318,045 : x
  2. Step 2: Convert to fraction form
    217,206/318,045 = 318,045/x
  3. Step 3: Cross multiply
    217,206x = 318,045 × 318,045
  4. Step 4: Simplify right side
    217,206x = 101,152,622,025
  5. Step 5: Solve for x
    x = 101,152,622,025/217,206
  6. Step 6: Final answer
    x = 465,699.02

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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.