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Finding the Third Proportional to 155,118 and 226,518.75

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Solution

The third proportional to 155,118 and 226,518.75 is: 330,785.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,118 : 226,518.75 = 226,518.75 : x
  2. Step 2: Convert to fraction form
    155,118/226,518.75 = 226,518.75/x
  3. Step 3: Cross multiply
    155,118x = 226,518.75 × 226,518.75
  4. Step 4: Simplify right side
    155,118x = 51,310,744,101.56
  5. Step 5: Solve for x
    x = 51,310,744,101.56/155,118
  6. Step 6: Final answer
    x = 330,785.24

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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.