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Finding the Third Proportional to 165,974 and 238,593

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Solution

The third proportional to 165,974 and 238,593 is: 342,985.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,974 : 238,593 = 238,593 : x
  2. Step 2: Convert to fraction form
    165,974/238,593 = 238,593/x
  3. Step 3: Cross multiply
    165,974x = 238,593 × 238,593
  4. Step 4: Simplify right side
    165,974x = 56,926,619,649
  5. Step 5: Solve for x
    x = 56,926,619,649/165,974
  6. Step 6: Final answer
    x = 342,985.16

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.