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Finding the Third Proportional to 134,349 and 209,695

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Solution

The third proportional to 134,349 and 209,695 is: 327,296.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,349 : 209,695 = 209,695 : x
  2. Step 2: Convert to fraction form
    134,349/209,695 = 209,695/x
  3. Step 3: Cross multiply
    134,349x = 209,695 × 209,695
  4. Step 4: Simplify right side
    134,349x = 43,971,993,025
  5. Step 5: Solve for x
    x = 43,971,993,025/134,349
  6. Step 6: Final answer
    x = 327,296.76

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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.