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Finding the Third Proportional to 137,184 and 299,616

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Solution

The third proportional to 137,184 and 299,616 is: 654,374.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,184 : 299,616 = 299,616 : x
  2. Step 2: Convert to fraction form
    137,184/299,616 = 299,616/x
  3. Step 3: Cross multiply
    137,184x = 299,616 × 299,616
  4. Step 4: Simplify right side
    137,184x = 89,769,747,456
  5. Step 5: Solve for x
    x = 89,769,747,456/137,184
  6. Step 6: Final answer
    x = 654,374.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.