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Finding the Third Proportional to 227,656 and 334,103

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Solution

The third proportional to 227,656 and 334,103 is: 490,322.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,656 : 334,103 = 334,103 : x
  2. Step 2: Convert to fraction form
    227,656/334,103 = 334,103/x
  3. Step 3: Cross multiply
    227,656x = 334,103 × 334,103
  4. Step 4: Simplify right side
    227,656x = 111,624,814,609
  5. Step 5: Solve for x
    x = 111,624,814,609/227,656
  6. Step 6: Final answer
    x = 490,322.30

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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.