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Finding the Third Proportional to 136,676 and 295,816

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Solution

The third proportional to 136,676 and 295,816 is: 640,252.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,676 : 295,816 = 295,816 : x
  2. Step 2: Convert to fraction form
    136,676/295,816 = 295,816/x
  3. Step 3: Cross multiply
    136,676x = 295,816 × 295,816
  4. Step 4: Simplify right side
    136,676x = 87,507,105,856
  5. Step 5: Solve for x
    x = 87,507,105,856/136,676
  6. Step 6: Final answer
    x = 640,252.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.