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Finding the Third Proportional to 224,964.84 and 316,397.39

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Solution

The third proportional to 224,964.84 and 316,397.39 is: 444,990.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,964.84 : 316,397.39 = 316,397.39 : x
  2. Step 2: Convert to fraction form
    224,964.84/316,397.39 = 316,397.39/x
  3. Step 3: Cross multiply
    224,964.84x = 316,397.39 × 316,397.39
  4. Step 4: Simplify right side
    224,964.84x = 100,107,308,794.31
  5. Step 5: Solve for x
    x = 100,107,308,794.31/224,964.84
  6. Step 6: Final answer
    x = 444,990.90

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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.