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Finding the Third Proportional to 267,832 and 392,164

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Solution

The third proportional to 267,832 and 392,164 is: 574,212.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,832 : 392,164 = 392,164 : x
  2. Step 2: Convert to fraction form
    267,832/392,164 = 392,164/x
  3. Step 3: Cross multiply
    267,832x = 392,164 × 392,164
  4. Step 4: Simplify right side
    267,832x = 153,792,602,896
  5. Step 5: Solve for x
    x = 153,792,602,896/267,832
  6. Step 6: Final answer
    x = 574,212.95

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.