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Finding the Third Proportional to 136,670 and 295,802

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Solution

The third proportional to 136,670 and 295,802 is: 640,219.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,670 : 295,802 = 295,802 : x
  2. Step 2: Convert to fraction form
    136,670/295,802 = 295,802/x
  3. Step 3: Cross multiply
    136,670x = 295,802 × 295,802
  4. Step 4: Simplify right side
    136,670x = 87,498,823,204
  5. Step 5: Solve for x
    x = 87,498,823,204/136,670
  6. Step 6: Final answer
    x = 640,219.68

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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.