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Finding the Third Proportional to 136,641 and 300,184

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Solution

The third proportional to 136,641 and 300,184 is: 659,468.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,641 : 300,184 = 300,184 : x
  2. Step 2: Convert to fraction form
    136,641/300,184 = 300,184/x
  3. Step 3: Cross multiply
    136,641x = 300,184 × 300,184
  4. Step 4: Simplify right side
    136,641x = 90,110,433,856
  5. Step 5: Solve for x
    x = 90,110,433,856/136,641
  6. Step 6: Final answer
    x = 659,468.49

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.