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Finding the Third Proportional to 224,770 and 316,180

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Solution

The third proportional to 224,770 and 316,180 is: 444,764.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,770 : 316,180 = 316,180 : x
  2. Step 2: Convert to fraction form
    224,770/316,180 = 316,180/x
  3. Step 3: Cross multiply
    224,770x = 316,180 × 316,180
  4. Step 4: Simplify right side
    224,770x = 99,969,792,400
  5. Step 5: Solve for x
    x = 99,969,792,400/224,770
  6. Step 6: Final answer
    x = 444,764.84

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.