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Finding the Third Proportional to 141,714 and 217,035

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Solution

The third proportional to 141,714 and 217,035 is: 332,389.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,714 : 217,035 = 217,035 : x
  2. Step 2: Convert to fraction form
    141,714/217,035 = 217,035/x
  3. Step 3: Cross multiply
    141,714x = 217,035 × 217,035
  4. Step 4: Simplify right side
    141,714x = 47,104,191,225
  5. Step 5: Solve for x
    x = 47,104,191,225/141,714
  6. Step 6: Final answer
    x = 332,389.12

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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.