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Finding the Third Proportional to 267,944 and 357,187

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Solution

The third proportional to 267,944 and 357,187 is: 476,153.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,944 : 357,187 = 357,187 : x
  2. Step 2: Convert to fraction form
    267,944/357,187 = 357,187/x
  3. Step 3: Cross multiply
    267,944x = 357,187 × 357,187
  4. Step 4: Simplify right side
    267,944x = 127,582,552,969
  5. Step 5: Solve for x
    x = 127,582,552,969/267,944
  6. Step 6: Final answer
    x = 476,153.80

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.