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Finding the Third Proportional to 214,132 and 331,566

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Solution

The third proportional to 214,132 and 331,566 is: 513,403.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,132 : 331,566 = 331,566 : x
  2. Step 2: Convert to fraction form
    214,132/331,566 = 331,566/x
  3. Step 3: Cross multiply
    214,132x = 331,566 × 331,566
  4. Step 4: Simplify right side
    214,132x = 109,936,012,356
  5. Step 5: Solve for x
    x = 109,936,012,356/214,132
  6. Step 6: Final answer
    x = 513,403.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.