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Finding the Third Proportional to 182,859.75 and 242,632.69

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Solution

The third proportional to 182,859.75 and 242,632.69 is: 321,944.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,859.75 : 242,632.69 = 242,632.69 : x
  2. Step 2: Convert to fraction form
    182,859.75/242,632.69 = 242,632.69/x
  3. Step 3: Cross multiply
    182,859.75x = 242,632.69 × 242,632.69
  4. Step 4: Simplify right side
    182,859.75x = 58,870,621,043.47
  5. Step 5: Solve for x
    x = 58,870,621,043.47/182,859.75
  6. Step 6: Final answer
    x = 321,944.12

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.