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Finding the Third Proportional to 136,668 and 296,652

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Solution

The third proportional to 136,668 and 296,652 is: 643,913.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,668 : 296,652 = 296,652 : x
  2. Step 2: Convert to fraction form
    136,668/296,652 = 296,652/x
  3. Step 3: Cross multiply
    136,668x = 296,652 × 296,652
  4. Step 4: Simplify right side
    136,668x = 88,002,409,104
  5. Step 5: Solve for x
    x = 88,002,409,104/136,668
  6. Step 6: Final answer
    x = 643,913.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.