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Finding the Third Proportional to 209,040.75 and 274,681.13

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Solution

The third proportional to 209,040.75 and 274,681.13 is: 360,933.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,040.75 : 274,681.13 = 274,681.13 : x
  2. Step 2: Convert to fraction form
    209,040.75/274,681.13 = 274,681.13/x
  3. Step 3: Cross multiply
    209,040.75x = 274,681.13 × 274,681.13
  4. Step 4: Simplify right side
    209,040.75x = 75,449,720,431.27
  5. Step 5: Solve for x
    x = 75,449,720,431.27/209,040.75
  6. Step 6: Final answer
    x = 360,933.07

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.