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Finding the Third Proportional to 111,150.50 and 233,916

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Solution

The third proportional to 111,150.50 and 233,916 is: 492,275.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,150.50 : 233,916 = 233,916 : x
  2. Step 2: Convert to fraction form
    111,150.50/233,916 = 233,916/x
  3. Step 3: Cross multiply
    111,150.50x = 233,916 × 233,916
  4. Step 4: Simplify right side
    111,150.50x = 54,716,695,056
  5. Step 5: Solve for x
    x = 54,716,695,056/111,150.50
  6. Step 6: Final answer
    x = 492,275.74

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.