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Finding the Third Proportional to 192,618 and 299,418.75

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Solution

The third proportional to 192,618 and 299,418.75 is: 465,437.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,618 : 299,418.75 = 299,418.75 : x
  2. Step 2: Convert to fraction form
    192,618/299,418.75 = 299,418.75/x
  3. Step 3: Cross multiply
    192,618x = 299,418.75 × 299,418.75
  4. Step 4: Simplify right side
    192,618x = 89,651,587,851.56
  5. Step 5: Solve for x
    x = 89,651,587,851.56/192,618
  6. Step 6: Final answer
    x = 465,437.23

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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.