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Finding the Third Proportional to 154,833 and 226,275

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Solution

The third proportional to 154,833 and 226,275 is: 330,681.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,833 : 226,275 = 226,275 : x
  2. Step 2: Convert to fraction form
    154,833/226,275 = 226,275/x
  3. Step 3: Cross multiply
    154,833x = 226,275 × 226,275
  4. Step 4: Simplify right side
    154,833x = 51,200,375,625
  5. Step 5: Solve for x
    x = 51,200,375,625/154,833
  6. Step 6: Final answer
    x = 330,681.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.