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Finding the Third Proportional to 133,526 and 206,177

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Solution

The third proportional to 133,526 and 206,177 is: 318,357.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,526 : 206,177 = 206,177 : x
  2. Step 2: Convert to fraction form
    133,526/206,177 = 206,177/x
  3. Step 3: Cross multiply
    133,526x = 206,177 × 206,177
  4. Step 4: Simplify right side
    133,526x = 42,508,955,329
  5. Step 5: Solve for x
    x = 42,508,955,329/133,526
  6. Step 6: Final answer
    x = 318,357.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.