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Finding the Third Proportional to 267,798 and 367,209

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Solution

The third proportional to 267,798 and 367,209 is: 503,522.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,798 : 367,209 = 367,209 : x
  2. Step 2: Convert to fraction form
    267,798/367,209 = 367,209/x
  3. Step 3: Cross multiply
    267,798x = 367,209 × 367,209
  4. Step 4: Simplify right side
    267,798x = 134,842,449,681
  5. Step 5: Solve for x
    x = 134,842,449,681/267,798
  6. Step 6: Final answer
    x = 503,522.99

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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.