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Finding the Third Proportional to 154,641 and 226,422

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Solution

The third proportional to 154,641 and 226,422 is: 331,522.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,641 : 226,422 = 226,422 : x
  2. Step 2: Convert to fraction form
    154,641/226,422 = 226,422/x
  3. Step 3: Cross multiply
    154,641x = 226,422 × 226,422
  4. Step 4: Simplify right side
    154,641x = 51,266,922,084
  5. Step 5: Solve for x
    x = 51,266,922,084/154,641
  6. Step 6: Final answer
    x = 331,522.18

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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.