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Finding the Third Proportional to 154,837 and 226,281

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Solution

The third proportional to 154,837 and 226,281 is: 330,690.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,837 : 226,281 = 226,281 : x
  2. Step 2: Convert to fraction form
    154,837/226,281 = 226,281/x
  3. Step 3: Cross multiply
    154,837x = 226,281 × 226,281
  4. Step 4: Simplify right side
    154,837x = 51,203,090,961
  5. Step 5: Solve for x
    x = 51,203,090,961/154,837
  6. Step 6: Final answer
    x = 330,690.28

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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.