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Finding the Third Proportional to 224,967 and 316,400

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Solution

The third proportional to 224,967 and 316,400 is: 444,993.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,967 : 316,400 = 316,400 : x
  2. Step 2: Convert to fraction form
    224,967/316,400 = 316,400/x
  3. Step 3: Cross multiply
    224,967x = 316,400 × 316,400
  4. Step 4: Simplify right side
    224,967x = 100,108,960,000
  5. Step 5: Solve for x
    x = 100,108,960,000/224,967
  6. Step 6: Final answer
    x = 444,993.98

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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.