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Finding the Third Proportional to 141,724 and 212,234

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Solution

The third proportional to 141,724 and 212,234 is: 317,823.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,724 : 212,234 = 212,234 : x
  2. Step 2: Convert to fraction form
    141,724/212,234 = 212,234/x
  3. Step 3: Cross multiply
    141,724x = 212,234 × 212,234
  4. Step 4: Simplify right side
    141,724x = 45,043,270,756
  5. Step 5: Solve for x
    x = 45,043,270,756/141,724
  6. Step 6: Final answer
    x = 317,823.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.