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Finding the Third Proportional to 171,808 and 262,154

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Solution

The third proportional to 171,808 and 262,154 is: 400,008.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,808 : 262,154 = 262,154 : x
  2. Step 2: Convert to fraction form
    171,808/262,154 = 262,154/x
  3. Step 3: Cross multiply
    171,808x = 262,154 × 262,154
  4. Step 4: Simplify right side
    171,808x = 68,724,719,716
  5. Step 5: Solve for x
    x = 68,724,719,716/171,808
  6. Step 6: Final answer
    x = 400,008.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.