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Finding the Third Proportional to 214,496 and 326,356

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Solution

The third proportional to 214,496 and 326,356 is: 496,551.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,496 : 326,356 = 326,356 : x
  2. Step 2: Convert to fraction form
    214,496/326,356 = 326,356/x
  3. Step 3: Cross multiply
    214,496x = 326,356 × 326,356
  4. Step 4: Simplify right side
    214,496x = 106,508,238,736
  5. Step 5: Solve for x
    x = 106,508,238,736/214,496
  6. Step 6: Final answer
    x = 496,551.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.