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Finding the Third Proportional to 218,381.25 and 463,002.75

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Solution

The third proportional to 218,381.25 and 463,002.75 is: 981,638.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,381.25 : 463,002.75 = 463,002.75 : x
  2. Step 2: Convert to fraction form
    218,381.25/463,002.75 = 463,002.75/x
  3. Step 3: Cross multiply
    218,381.25x = 463,002.75 × 463,002.75
  4. Step 4: Simplify right side
    218,381.25x = 214,371,546,507.56
  5. Step 5: Solve for x
    x = 214,371,546,507.56/218,381.25
  6. Step 6: Final answer
    x = 981,638.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.