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Finding the Third Proportional to 227,645 and 334,087

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Solution

The third proportional to 227,645 and 334,087 is: 490,299.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,645 : 334,087 = 334,087 : x
  2. Step 2: Convert to fraction form
    227,645/334,087 = 334,087/x
  3. Step 3: Cross multiply
    227,645x = 334,087 × 334,087
  4. Step 4: Simplify right side
    227,645x = 111,614,123,569
  5. Step 5: Solve for x
    x = 111,614,123,569/227,645
  6. Step 6: Final answer
    x = 490,299.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.