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Finding the Third Proportional to 159,513.75 and 350,474.63

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Solution

The third proportional to 159,513.75 and 350,474.63 is: 770,043.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,513.75 : 350,474.63 = 350,474.63 : x
  2. Step 2: Convert to fraction form
    159,513.75/350,474.63 = 350,474.63/x
  3. Step 3: Cross multiply
    159,513.75x = 350,474.63 × 350,474.63
  4. Step 4: Simplify right side
    159,513.75x = 122,832,462,768.89
  5. Step 5: Solve for x
    x = 122,832,462,768.89/159,513.75
  6. Step 6: Final answer
    x = 770,043.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.