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Finding the Third Proportional to 242,744.75 and 371,509.13

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Solution

The third proportional to 242,744.75 and 371,509.13 is: 568,576.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,744.75 : 371,509.13 = 371,509.13 : x
  2. Step 2: Convert to fraction form
    242,744.75/371,509.13 = 371,509.13/x
  3. Step 3: Cross multiply
    242,744.75x = 371,509.13 × 371,509.13
  4. Step 4: Simplify right side
    242,744.75x = 138,019,029,958.27
  5. Step 5: Solve for x
    x = 138,019,029,958.27/242,744.75
  6. Step 6: Final answer
    x = 568,576.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.