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Finding the Third Proportional to 171,807 and 262,154

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Solution

The third proportional to 171,807 and 262,154 is: 400,011.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,807 : 262,154 = 262,154 : x
  2. Step 2: Convert to fraction form
    171,807/262,154 = 262,154/x
  3. Step 3: Cross multiply
    171,807x = 262,154 × 262,154
  4. Step 4: Simplify right side
    171,807x = 68,724,719,716
  5. Step 5: Solve for x
    x = 68,724,719,716/171,807
  6. Step 6: Final answer
    x = 400,011.17

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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.