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Finding the Third Proportional to 122,747 and 267,365

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Solution

The third proportional to 122,747 and 267,365 is: 582,368.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,747 : 267,365 = 267,365 : x
  2. Step 2: Convert to fraction form
    122,747/267,365 = 267,365/x
  3. Step 3: Cross multiply
    122,747x = 267,365 × 267,365
  4. Step 4: Simplify right side
    122,747x = 71,484,043,225
  5. Step 5: Solve for x
    x = 71,484,043,225/122,747
  6. Step 6: Final answer
    x = 582,368.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.