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Finding the Third Proportional to 224,774 and 316,186

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Solution

The third proportional to 224,774 and 316,186 is: 444,773.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,774 : 316,186 = 316,186 : x
  2. Step 2: Convert to fraction form
    224,774/316,186 = 316,186/x
  3. Step 3: Cross multiply
    224,774x = 316,186 × 316,186
  4. Step 4: Simplify right side
    224,774x = 99,973,586,596
  5. Step 5: Solve for x
    x = 99,973,586,596/224,774
  6. Step 6: Final answer
    x = 444,773.80

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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.