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Finding the Third Proportional to 159,696 and 340,817

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Solution

The third proportional to 159,696 and 340,817 is: 727,358.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,696 : 340,817 = 340,817 : x
  2. Step 2: Convert to fraction form
    159,696/340,817 = 340,817/x
  3. Step 3: Cross multiply
    159,696x = 340,817 × 340,817
  4. Step 4: Simplify right side
    159,696x = 116,156,227,489
  5. Step 5: Solve for x
    x = 116,156,227,489/159,696
  6. Step 6: Final answer
    x = 727,358.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.