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Finding the Third Proportional to 152,451 and 226,464.75

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Solution

The third proportional to 152,451 and 226,464.75 is: 336,411.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,451 : 226,464.75 = 226,464.75 : x
  2. Step 2: Convert to fraction form
    152,451/226,464.75 = 226,464.75/x
  3. Step 3: Cross multiply
    152,451x = 226,464.75 × 226,464.75
  4. Step 4: Simplify right side
    152,451x = 51,286,282,992.56
  5. Step 5: Solve for x
    x = 51,286,282,992.56/152,451
  6. Step 6: Final answer
    x = 336,411.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.