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Finding the Third Proportional to 167,527.13 and 361,296.56

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Solution

The third proportional to 167,527.13 and 361,296.56 is: 779,188.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,527.13 : 361,296.56 = 361,296.56 : x
  2. Step 2: Convert to fraction form
    167,527.13/361,296.56 = 361,296.56/x
  3. Step 3: Cross multiply
    167,527.13x = 361,296.56 × 361,296.56
  4. Step 4: Simplify right side
    167,527.13x = 130,535,206,074.32
  5. Step 5: Solve for x
    x = 130,535,206,074.32/167,527.13
  6. Step 6: Final answer
    x = 779,188.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.