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Finding the Third Proportional to 171,808 and 259,595

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Solution

The third proportional to 171,808 and 259,595 is: 392,237.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,808 : 259,595 = 259,595 : x
  2. Step 2: Convert to fraction form
    171,808/259,595 = 259,595/x
  3. Step 3: Cross multiply
    171,808x = 259,595 × 259,595
  4. Step 4: Simplify right side
    171,808x = 67,389,564,025
  5. Step 5: Solve for x
    x = 67,389,564,025/171,808
  6. Step 6: Final answer
    x = 392,237.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.