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Finding the Third Proportional to 228,444 and 334,872

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Solution

The third proportional to 228,444 and 334,872 is: 490,882.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,444 : 334,872 = 334,872 : x
  2. Step 2: Convert to fraction form
    228,444/334,872 = 334,872/x
  3. Step 3: Cross multiply
    228,444x = 334,872 × 334,872
  4. Step 4: Simplify right side
    228,444x = 112,139,256,384
  5. Step 5: Solve for x
    x = 112,139,256,384/228,444
  6. Step 6: Final answer
    x = 490,882.91

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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.