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Finding the Third Proportional to 111,722.25 and 239,434.50

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Solution

The third proportional to 111,722.25 and 239,434.50 is: 513,137.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,722.25 : 239,434.50 = 239,434.50 : x
  2. Step 2: Convert to fraction form
    111,722.25/239,434.50 = 239,434.50/x
  3. Step 3: Cross multiply
    111,722.25x = 239,434.50 × 239,434.50
  4. Step 4: Simplify right side
    111,722.25x = 57,328,879,790.25
  5. Step 5: Solve for x
    x = 57,328,879,790.25/111,722.25
  6. Step 6: Final answer
    x = 513,137.53

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.