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Finding the Third Proportional to 267,251 and 392,127

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Solution

The third proportional to 267,251 and 392,127 is: 575,352.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,251 : 392,127 = 392,127 : x
  2. Step 2: Convert to fraction form
    267,251/392,127 = 392,127/x
  3. Step 3: Cross multiply
    267,251x = 392,127 × 392,127
  4. Step 4: Simplify right side
    267,251x = 153,763,584,129
  5. Step 5: Solve for x
    x = 153,763,584,129/267,251
  6. Step 6: Final answer
    x = 575,352.70

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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.