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Finding the Third Proportional to 134,341 and 209,682

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Solution

The third proportional to 134,341 and 209,682 is: 327,275.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,341 : 209,682 = 209,682 : x
  2. Step 2: Convert to fraction form
    134,341/209,682 = 209,682/x
  3. Step 3: Cross multiply
    134,341x = 209,682 × 209,682
  4. Step 4: Simplify right side
    134,341x = 43,966,541,124
  5. Step 5: Solve for x
    x = 43,966,541,124/134,341
  6. Step 6: Final answer
    x = 327,275.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.