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Finding the Third Proportional to 240,224 and 376,816

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Solution

The third proportional to 240,224 and 376,816 is: 591,074.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,224 : 376,816 = 376,816 : x
  2. Step 2: Convert to fraction form
    240,224/376,816 = 376,816/x
  3. Step 3: Cross multiply
    240,224x = 376,816 × 376,816
  4. Step 4: Simplify right side
    240,224x = 141,990,297,856
  5. Step 5: Solve for x
    x = 141,990,297,856/240,224
  6. Step 6: Final answer
    x = 591,074.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.