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Finding the Third Proportional to 141,756 and 219,334

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Solution

The third proportional to 141,756 and 219,334 is: 339,367.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,756 : 219,334 = 219,334 : x
  2. Step 2: Convert to fraction form
    141,756/219,334 = 219,334/x
  3. Step 3: Cross multiply
    141,756x = 219,334 × 219,334
  4. Step 4: Simplify right side
    141,756x = 48,107,403,556
  5. Step 5: Solve for x
    x = 48,107,403,556/141,756
  6. Step 6: Final answer
    x = 339,367.67

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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.