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Finding the Third Proportional to 191,121.75 and 229,527.56

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Solution

The third proportional to 191,121.75 and 229,527.56 is: 275,651.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,121.75 : 229,527.56 = 229,527.56 : x
  2. Step 2: Convert to fraction form
    191,121.75/229,527.56 = 229,527.56/x
  3. Step 3: Cross multiply
    191,121.75x = 229,527.56 × 229,527.56
  4. Step 4: Simplify right side
    191,121.75x = 52,682,901,947.19
  5. Step 5: Solve for x
    x = 52,682,901,947.19/191,121.75
  6. Step 6: Final answer
    x = 275,651.00

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.