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Finding the Third Proportional to 159,950.25 and 345,514.50

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Solution

The third proportional to 159,950.25 and 345,514.50 is: 746,358.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,950.25 : 345,514.50 = 345,514.50 : x
  2. Step 2: Convert to fraction form
    159,950.25/345,514.50 = 345,514.50/x
  3. Step 3: Cross multiply
    159,950.25x = 345,514.50 × 345,514.50
  4. Step 4: Simplify right side
    159,950.25x = 119,380,269,710.25
  5. Step 5: Solve for x
    x = 119,380,269,710.25/159,950.25
  6. Step 6: Final answer
    x = 746,358.76

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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.