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Finding the Third Proportional to 141,710 and 217,029

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Solution

The third proportional to 141,710 and 217,029 is: 332,380.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,710 : 217,029 = 217,029 : x
  2. Step 2: Convert to fraction form
    141,710/217,029 = 217,029/x
  3. Step 3: Cross multiply
    141,710x = 217,029 × 217,029
  4. Step 4: Simplify right side
    141,710x = 47,101,586,841
  5. Step 5: Solve for x
    x = 47,101,586,841/141,710
  6. Step 6: Final answer
    x = 332,380.12

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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.