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Finding the Third Proportional to 154,837.13 and 226,281.09

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Solution

The third proportional to 154,837.13 and 226,281.09 is: 330,690.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,837.13 : 226,281.09 = 226,281.09 : x
  2. Step 2: Convert to fraction form
    154,837.13/226,281.09 = 226,281.09/x
  3. Step 3: Cross multiply
    154,837.13x = 226,281.09 × 226,281.09
  4. Step 4: Simplify right side
    154,837.13x = 51,203,133,388.70
  5. Step 5: Solve for x
    x = 51,203,133,388.70/154,837.13
  6. Step 6: Final answer
    x = 330,690.29

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