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Finding the Third Proportional to 224,718 and 496,164

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Solution

The third proportional to 224,718 and 496,164 is: 1,095,500.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,718 : 496,164 = 496,164 : x
  2. Step 2: Convert to fraction form
    224,718/496,164 = 496,164/x
  3. Step 3: Cross multiply
    224,718x = 496,164 × 496,164
  4. Step 4: Simplify right side
    224,718x = 246,178,714,896
  5. Step 5: Solve for x
    x = 246,178,714,896/224,718
  6. Step 6: Final answer
    x = 1,095,500.65

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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.