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Finding the Third Proportional to 159,329 and 346,756

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Solution

The third proportional to 159,329 and 346,756 is: 754,663.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,329 : 346,756 = 346,756 : x
  2. Step 2: Convert to fraction form
    159,329/346,756 = 346,756/x
  3. Step 3: Cross multiply
    159,329x = 346,756 × 346,756
  4. Step 4: Simplify right side
    159,329x = 120,239,723,536
  5. Step 5: Solve for x
    x = 120,239,723,536/159,329
  6. Step 6: Final answer
    x = 754,663.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.