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Finding the Third Proportional to 267,818 and 367,237

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Solution

The third proportional to 267,818 and 367,237 is: 503,562.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,818 : 367,237 = 367,237 : x
  2. Step 2: Convert to fraction form
    267,818/367,237 = 367,237/x
  3. Step 3: Cross multiply
    267,818x = 367,237 × 367,237
  4. Step 4: Simplify right side
    267,818x = 134,863,014,169
  5. Step 5: Solve for x
    x = 134,863,014,169/267,818
  6. Step 6: Final answer
    x = 503,562.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.