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Finding the Third Proportional to 141,917 and 218,202

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Solution

The third proportional to 141,917 and 218,202 is: 335,492.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,917 : 218,202 = 218,202 : x
  2. Step 2: Convert to fraction form
    141,917/218,202 = 218,202/x
  3. Step 3: Cross multiply
    141,917x = 218,202 × 218,202
  4. Step 4: Simplify right side
    141,917x = 47,612,112,804
  5. Step 5: Solve for x
    x = 47,612,112,804/141,917
  6. Step 6: Final answer
    x = 335,492.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.