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Finding the Third Proportional to 267,820 and 367,240

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Solution

The third proportional to 267,820 and 367,240 is: 503,566.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,820 : 367,240 = 367,240 : x
  2. Step 2: Convert to fraction form
    267,820/367,240 = 367,240/x
  3. Step 3: Cross multiply
    267,820x = 367,240 × 367,240
  4. Step 4: Simplify right side
    267,820x = 134,865,217,600
  5. Step 5: Solve for x
    x = 134,865,217,600/267,820
  6. Step 6: Final answer
    x = 503,566.64

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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.