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Finding the Third Proportional to 217,916 and 326,864

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Solution

The third proportional to 217,916 and 326,864 is: 490,281.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,916 : 326,864 = 326,864 : x
  2. Step 2: Convert to fraction form
    217,916/326,864 = 326,864/x
  3. Step 3: Cross multiply
    217,916x = 326,864 × 326,864
  4. Step 4: Simplify right side
    217,916x = 106,840,074,496
  5. Step 5: Solve for x
    x = 106,840,074,496/217,916
  6. Step 6: Final answer
    x = 490,281.00

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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.