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Finding the Third Proportional to 202,191.19 and 273,754.69

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Solution

The third proportional to 202,191.19 and 273,754.69 is: 370,647.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,191.19 : 273,754.69 = 273,754.69 : x
  2. Step 2: Convert to fraction form
    202,191.19/273,754.69 = 273,754.69/x
  3. Step 3: Cross multiply
    202,191.19x = 273,754.69 × 273,754.69
  4. Step 4: Simplify right side
    202,191.19x = 74,941,628,928.22
  5. Step 5: Solve for x
    x = 74,941,628,928.22/202,191.19
  6. Step 6: Final answer
    x = 370,647.36

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.