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Finding the Third Proportional to 111,316.50 and 262,515.75

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Solution

The third proportional to 111,316.50 and 262,515.75 is: 619,086.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,316.50 : 262,515.75 = 262,515.75 : x
  2. Step 2: Convert to fraction form
    111,316.50/262,515.75 = 262,515.75/x
  3. Step 3: Cross multiply
    111,316.50x = 262,515.75 × 262,515.75
  4. Step 4: Simplify right side
    111,316.50x = 68,914,518,998.06
  5. Step 5: Solve for x
    x = 68,914,518,998.06/111,316.50
  6. Step 6: Final answer
    x = 619,086.29

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.