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Finding the Third Proportional to 171,746 and 252,644

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Solution

The third proportional to 171,746 and 252,644 is: 371,647.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,746 : 252,644 = 252,644 : x
  2. Step 2: Convert to fraction form
    171,746/252,644 = 252,644/x
  3. Step 3: Cross multiply
    171,746x = 252,644 × 252,644
  4. Step 4: Simplify right side
    171,746x = 63,828,990,736
  5. Step 5: Solve for x
    x = 63,828,990,736/171,746
  6. Step 6: Final answer
    x = 371,647.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.