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Finding the Third Proportional to 88,263 and 191,268

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Solution

The third proportional to 88,263 and 191,268 is: 414,482.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,263 : 191,268 = 191,268 : x
  2. Step 2: Convert to fraction form
    88,263/191,268 = 191,268/x
  3. Step 3: Cross multiply
    88,263x = 191,268 × 191,268
  4. Step 4: Simplify right side
    88,263x = 36,583,447,824
  5. Step 5: Solve for x
    x = 36,583,447,824/88,263
  6. Step 6: Final answer
    x = 414,482.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.