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Finding the Third Proportional to 159,048 and 343,006

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Solution

The third proportional to 159,048 and 343,006 is: 739,733.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,048 : 343,006 = 343,006 : x
  2. Step 2: Convert to fraction form
    159,048/343,006 = 343,006/x
  3. Step 3: Cross multiply
    159,048x = 343,006 × 343,006
  4. Step 4: Simplify right side
    159,048x = 117,653,116,036
  5. Step 5: Solve for x
    x = 117,653,116,036/159,048
  6. Step 6: Final answer
    x = 739,733.39

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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.