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Finding the Third Proportional to 267,024 and 373,320

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Solution

The third proportional to 267,024 and 373,320 is: 521,929.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,024 : 373,320 = 373,320 : x
  2. Step 2: Convert to fraction form
    267,024/373,320 = 373,320/x
  3. Step 3: Cross multiply
    267,024x = 373,320 × 373,320
  4. Step 4: Simplify right side
    267,024x = 139,367,822,400
  5. Step 5: Solve for x
    x = 139,367,822,400/267,024
  6. Step 6: Final answer
    x = 521,929.95

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.