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Finding the Third Proportional to 115,756.50 and 234,733.50

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Solution

The third proportional to 115,756.50 and 234,733.50 is: 475,997.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,756.50 : 234,733.50 = 234,733.50 : x
  2. Step 2: Convert to fraction form
    115,756.50/234,733.50 = 234,733.50/x
  3. Step 3: Cross multiply
    115,756.50x = 234,733.50 × 234,733.50
  4. Step 4: Simplify right side
    115,756.50x = 55,099,816,022.25
  5. Step 5: Solve for x
    x = 55,099,816,022.25/115,756.50
  6. Step 6: Final answer
    x = 475,997.60

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.