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Finding the Third Proportional to 169,245 and 261,207

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Solution

The third proportional to 169,245 and 261,207 is: 403,138.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,245 : 261,207 = 261,207 : x
  2. Step 2: Convert to fraction form
    169,245/261,207 = 261,207/x
  3. Step 3: Cross multiply
    169,245x = 261,207 × 261,207
  4. Step 4: Simplify right side
    169,245x = 68,229,096,849
  5. Step 5: Solve for x
    x = 68,229,096,849/169,245
  6. Step 6: Final answer
    x = 403,138.04

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.