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Finding the Third Proportional to 267,228 and 392,094

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Solution

The third proportional to 267,228 and 392,094 is: 575,305.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,228 : 392,094 = 392,094 : x
  2. Step 2: Convert to fraction form
    267,228/392,094 = 392,094/x
  3. Step 3: Cross multiply
    267,228x = 392,094 × 392,094
  4. Step 4: Simplify right side
    267,228x = 153,737,704,836
  5. Step 5: Solve for x
    x = 153,737,704,836/267,228
  6. Step 6: Final answer
    x = 575,305.38

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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.