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Finding the Third Proportional to 214,542 and 282,123

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Solution

The third proportional to 214,542 and 282,123 is: 370,992.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,542 : 282,123 = 282,123 : x
  2. Step 2: Convert to fraction form
    214,542/282,123 = 282,123/x
  3. Step 3: Cross multiply
    214,542x = 282,123 × 282,123
  4. Step 4: Simplify right side
    214,542x = 79,593,387,129
  5. Step 5: Solve for x
    x = 79,593,387,129/214,542
  6. Step 6: Final answer
    x = 370,992.10

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.