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Finding the Third Proportional to 169,050.75 and 261,624.38

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Solution

The third proportional to 169,050.75 and 261,624.38 is: 404,892.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,050.75 : 261,624.38 = 261,624.38 : x
  2. Step 2: Convert to fraction form
    169,050.75/261,624.38 = 261,624.38/x
  3. Step 3: Cross multiply
    169,050.75x = 261,624.38 × 261,624.38
  4. Step 4: Simplify right side
    169,050.75x = 68,447,313,594.14
  5. Step 5: Solve for x
    x = 68,447,313,594.14/169,050.75
  6. Step 6: Final answer
    x = 404,892.10

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.