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Finding the Third Proportional to 136,676 and 287,174

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Solution

The third proportional to 136,676 and 287,174 is: 603,389.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,676 : 287,174 = 287,174 : x
  2. Step 2: Convert to fraction form
    136,676/287,174 = 287,174/x
  3. Step 3: Cross multiply
    136,676x = 287,174 × 287,174
  4. Step 4: Simplify right side
    136,676x = 82,468,906,276
  5. Step 5: Solve for x
    x = 82,468,906,276/136,676
  6. Step 6: Final answer
    x = 603,389.81

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.