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Finding the Third Proportional to 136,322 and 206,933

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Solution

The third proportional to 136,322 and 206,933 is: 314,118.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,322 : 206,933 = 206,933 : x
  2. Step 2: Convert to fraction form
    136,322/206,933 = 206,933/x
  3. Step 3: Cross multiply
    136,322x = 206,933 × 206,933
  4. Step 4: Simplify right side
    136,322x = 42,821,266,489
  5. Step 5: Solve for x
    x = 42,821,266,489/136,322
  6. Step 6: Final answer
    x = 314,118.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.