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Finding the Third Proportional to 267,716 and 367,095

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Solution

The third proportional to 267,716 and 367,095 is: 503,364.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,716 : 367,095 = 367,095 : x
  2. Step 2: Convert to fraction form
    267,716/367,095 = 367,095/x
  3. Step 3: Cross multiply
    267,716x = 367,095 × 367,095
  4. Step 4: Simplify right side
    267,716x = 134,758,739,025
  5. Step 5: Solve for x
    x = 134,758,739,025/267,716
  6. Step 6: Final answer
    x = 503,364.53

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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.