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Finding the Third Proportional to 174,670 and 262,871

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Solution

The third proportional to 174,670 and 262,871 is: 395,609.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,670 : 262,871 = 262,871 : x
  2. Step 2: Convert to fraction form
    174,670/262,871 = 262,871/x
  3. Step 3: Cross multiply
    174,670x = 262,871 × 262,871
  4. Step 4: Simplify right side
    174,670x = 69,101,162,641
  5. Step 5: Solve for x
    x = 69,101,162,641/174,670
  6. Step 6: Final answer
    x = 395,609.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.