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Finding the Third Proportional to 159,976.13 and 350,083.13

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Solution

The third proportional to 159,976.13 and 350,083.13 is: 766,103.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,976.13 : 350,083.13 = 350,083.13 : x
  2. Step 2: Convert to fraction form
    159,976.13/350,083.13 = 350,083.13/x
  3. Step 3: Cross multiply
    159,976.13x = 350,083.13 × 350,083.13
  4. Step 4: Simplify right side
    159,976.13x = 122,558,194,409.77
  5. Step 5: Solve for x
    x = 122,558,194,409.77/159,976.13
  6. Step 6: Final answer
    x = 766,103.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.