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Finding the Third Proportional to 175,990 and 233,366

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Solution

The third proportional to 175,990 and 233,366 is: 309,447.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,990 : 233,366 = 233,366 : x
  2. Step 2: Convert to fraction form
    175,990/233,366 = 233,366/x
  3. Step 3: Cross multiply
    175,990x = 233,366 × 233,366
  4. Step 4: Simplify right side
    175,990x = 54,459,689,956
  5. Step 5: Solve for x
    x = 54,459,689,956/175,990
  6. Step 6: Final answer
    x = 309,447.64

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.