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Finding the Third Proportional to 136,432 and 206,768

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Solution

The third proportional to 136,432 and 206,768 is: 313,364.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,432 : 206,768 = 206,768 : x
  2. Step 2: Convert to fraction form
    136,432/206,768 = 206,768/x
  3. Step 3: Cross multiply
    136,432x = 206,768 × 206,768
  4. Step 4: Simplify right side
    136,432x = 42,753,005,824
  5. Step 5: Solve for x
    x = 42,753,005,824/136,432
  6. Step 6: Final answer
    x = 313,364.94

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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.