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Finding the Third Proportional to 154,836 and 226,279.50

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Solution

The third proportional to 154,836 and 226,279.50 is: 330,688.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,836 : 226,279.50 = 226,279.50 : x
  2. Step 2: Convert to fraction form
    154,836/226,279.50 = 226,279.50/x
  3. Step 3: Cross multiply
    154,836x = 226,279.50 × 226,279.50
  4. Step 4: Simplify right side
    154,836x = 51,202,412,120.25
  5. Step 5: Solve for x
    x = 51,202,412,120.25/154,836
  6. Step 6: Final answer
    x = 330,688.03

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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.