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Finding the Third Proportional to 133,364 and 206,364

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Solution

The third proportional to 133,364 and 206,364 is: 319,322.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,364 : 206,364 = 206,364 : x
  2. Step 2: Convert to fraction form
    133,364/206,364 = 206,364/x
  3. Step 3: Cross multiply
    133,364x = 206,364 × 206,364
  4. Step 4: Simplify right side
    133,364x = 42,586,100,496
  5. Step 5: Solve for x
    x = 42,586,100,496/133,364
  6. Step 6: Final answer
    x = 319,322.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.