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Finding the Third Proportional to 167,522 and 262,216

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Solution

The third proportional to 167,522 and 262,216 is: 410,437.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,522 : 262,216 = 262,216 : x
  2. Step 2: Convert to fraction form
    167,522/262,216 = 262,216/x
  3. Step 3: Cross multiply
    167,522x = 262,216 × 262,216
  4. Step 4: Simplify right side
    167,522x = 68,757,230,656
  5. Step 5: Solve for x
    x = 68,757,230,656/167,522
  6. Step 6: Final answer
    x = 410,437.02

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.