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Finding the Third Proportional to 224,720 and 496,168

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Solution

The third proportional to 224,720 and 496,168 is: 1,095,508.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,720 : 496,168 = 496,168 : x
  2. Step 2: Convert to fraction form
    224,720/496,168 = 496,168/x
  3. Step 3: Cross multiply
    224,720x = 496,168 × 496,168
  4. Step 4: Simplify right side
    224,720x = 246,182,684,224
  5. Step 5: Solve for x
    x = 246,182,684,224/224,720
  6. Step 6: Final answer
    x = 1,095,508.56

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.