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Finding the Third Proportional to 174,032 and 276,920

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Solution

The third proportional to 174,032 and 276,920 is: 440,635.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,032 : 276,920 = 276,920 : x
  2. Step 2: Convert to fraction form
    174,032/276,920 = 276,920/x
  3. Step 3: Cross multiply
    174,032x = 276,920 × 276,920
  4. Step 4: Simplify right side
    174,032x = 76,684,686,400
  5. Step 5: Solve for x
    x = 76,684,686,400/174,032
  6. Step 6: Final answer
    x = 440,635.55

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.