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Finding the Third Proportional to 199,864 and 296,768

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Solution

The third proportional to 199,864 and 296,768 is: 440,655.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,864 : 296,768 = 296,768 : x
  2. Step 2: Convert to fraction form
    199,864/296,768 = 296,768/x
  3. Step 3: Cross multiply
    199,864x = 296,768 × 296,768
  4. Step 4: Simplify right side
    199,864x = 88,071,245,824
  5. Step 5: Solve for x
    x = 88,071,245,824/199,864
  6. Step 6: Final answer
    x = 440,655.88

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.