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Finding the Third Proportional to 171,716 and 359,108

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Solution

The third proportional to 171,716 and 359,108 is: 750,999.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,716 : 359,108 = 359,108 : x
  2. Step 2: Convert to fraction form
    171,716/359,108 = 359,108/x
  3. Step 3: Cross multiply
    171,716x = 359,108 × 359,108
  4. Step 4: Simplify right side
    171,716x = 128,958,555,664
  5. Step 5: Solve for x
    x = 128,958,555,664/171,716
  6. Step 6: Final answer
    x = 750,999.07

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.