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Finding the Third Proportional to 140,144 and 217,586

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Solution

The third proportional to 140,144 and 217,586 is: 337,821.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,144 : 217,586 = 217,586 : x
  2. Step 2: Convert to fraction form
    140,144/217,586 = 217,586/x
  3. Step 3: Cross multiply
    140,144x = 217,586 × 217,586
  4. Step 4: Simplify right side
    140,144x = 47,343,667,396
  5. Step 5: Solve for x
    x = 47,343,667,396/140,144
  6. Step 6: Final answer
    x = 337,821.58

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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.