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Finding the Third Proportional to 192,547.13 and 397,396.13

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Solution

The third proportional to 192,547.13 and 397,396.13 is: 820,181.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,547.13 : 397,396.13 = 397,396.13 : x
  2. Step 2: Convert to fraction form
    192,547.13/397,396.13 = 397,396.13/x
  3. Step 3: Cross multiply
    192,547.13x = 397,396.13 × 397,396.13
  4. Step 4: Simplify right side
    192,547.13x = 157,923,680,165.02
  5. Step 5: Solve for x
    x = 157,923,680,165.02/192,547.13
  6. Step 6: Final answer
    x = 820,181.97

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.