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Finding the Third Proportional to 217,634 and 318,999

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Solution

The third proportional to 217,634 and 318,999 is: 467,575.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,634 : 318,999 = 318,999 : x
  2. Step 2: Convert to fraction form
    217,634/318,999 = 318,999/x
  3. Step 3: Cross multiply
    217,634x = 318,999 × 318,999
  4. Step 4: Simplify right side
    217,634x = 101,760,362,001
  5. Step 5: Solve for x
    x = 101,760,362,001/217,634
  6. Step 6: Final answer
    x = 467,575.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.