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Finding the Third Proportional to 267,942 and 357,184

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Solution

The third proportional to 267,942 and 357,184 is: 476,149.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,942 : 357,184 = 357,184 : x
  2. Step 2: Convert to fraction form
    267,942/357,184 = 357,184/x
  3. Step 3: Cross multiply
    267,942x = 357,184 × 357,184
  4. Step 4: Simplify right side
    267,942x = 127,580,409,856
  5. Step 5: Solve for x
    x = 127,580,409,856/267,942
  6. Step 6: Final answer
    x = 476,149.35

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.