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Finding the Third Proportional to 191,824 and 300,928

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Solution

The third proportional to 191,824 and 300,928 is: 472,087.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,824 : 300,928 = 300,928 : x
  2. Step 2: Convert to fraction form
    191,824/300,928 = 300,928/x
  3. Step 3: Cross multiply
    191,824x = 300,928 × 300,928
  4. Step 4: Simplify right side
    191,824x = 90,557,661,184
  5. Step 5: Solve for x
    x = 90,557,661,184/191,824
  6. Step 6: Final answer
    x = 472,087.23

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.