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Finding the Third Proportional to 133,526 and 206,176

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Solution

The third proportional to 133,526 and 206,176 is: 318,354.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,526 : 206,176 = 206,176 : x
  2. Step 2: Convert to fraction form
    133,526/206,176 = 206,176/x
  3. Step 3: Cross multiply
    133,526x = 206,176 × 206,176
  4. Step 4: Simplify right side
    133,526x = 42,508,542,976
  5. Step 5: Solve for x
    x = 42,508,542,976/133,526
  6. Step 6: Final answer
    x = 318,354.05

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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.