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Finding the Third Proportional to 141,702 and 217,017

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Solution

The third proportional to 141,702 and 217,017 is: 332,362.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,702 : 217,017 = 217,017 : x
  2. Step 2: Convert to fraction form
    141,702/217,017 = 217,017/x
  3. Step 3: Cross multiply
    141,702x = 217,017 × 217,017
  4. Step 4: Simplify right side
    141,702x = 47,096,378,289
  5. Step 5: Solve for x
    x = 47,096,378,289/141,702
  6. Step 6: Final answer
    x = 332,362.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.