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Finding the Third Proportional to 224,102 and 468,980

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Solution

The third proportional to 224,102 and 468,980 is: 981,438.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,102 : 468,980 = 468,980 : x
  2. Step 2: Convert to fraction form
    224,102/468,980 = 468,980/x
  3. Step 3: Cross multiply
    224,102x = 468,980 × 468,980
  4. Step 4: Simplify right side
    224,102x = 219,942,240,400
  5. Step 5: Solve for x
    x = 219,942,240,400/224,102
  6. Step 6: Final answer
    x = 981,438.10

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.