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Finding the Third Proportional to 159,864 and 344,658

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Solution

The third proportional to 159,864 and 344,658 is: 743,063.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,864 : 344,658 = 344,658 : x
  2. Step 2: Convert to fraction form
    159,864/344,658 = 344,658/x
  3. Step 3: Cross multiply
    159,864x = 344,658 × 344,658
  4. Step 4: Simplify right side
    159,864x = 118,789,136,964
  5. Step 5: Solve for x
    x = 118,789,136,964/159,864
  6. Step 6: Final answer
    x = 743,063.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.