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Finding the Third Proportional to 227,669 and 334,122

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Solution

The third proportional to 227,669 and 334,122 is: 490,350.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,669 : 334,122 = 334,122 : x
  2. Step 2: Convert to fraction form
    227,669/334,122 = 334,122/x
  3. Step 3: Cross multiply
    227,669x = 334,122 × 334,122
  4. Step 4: Simplify right side
    227,669x = 111,637,510,884
  5. Step 5: Solve for x
    x = 111,637,510,884/227,669
  6. Step 6: Final answer
    x = 490,350.07

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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.