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Finding the Third Proportional to 217,466 and 325,187

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Solution

The third proportional to 217,466 and 325,187 is: 486,267.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,466 : 325,187 = 325,187 : x
  2. Step 2: Convert to fraction form
    217,466/325,187 = 325,187/x
  3. Step 3: Cross multiply
    217,466x = 325,187 × 325,187
  4. Step 4: Simplify right side
    217,466x = 105,746,584,969
  5. Step 5: Solve for x
    x = 105,746,584,969/217,466
  6. Step 6: Final answer
    x = 486,267.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.