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Finding the Third Proportional to 171,848 and 262,908

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Solution

The third proportional to 171,848 and 262,908 is: 402,219.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,848 : 262,908 = 262,908 : x
  2. Step 2: Convert to fraction form
    171,848/262,908 = 262,908/x
  3. Step 3: Cross multiply
    171,848x = 262,908 × 262,908
  4. Step 4: Simplify right side
    171,848x = 69,120,616,464
  5. Step 5: Solve for x
    x = 69,120,616,464/171,848
  6. Step 6: Final answer
    x = 402,219.50

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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.