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Finding the Third Proportional to 189,291.75 and 404,847.75

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Solution

The third proportional to 189,291.75 and 404,847.75 is: 865,868.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,291.75 : 404,847.75 = 404,847.75 : x
  2. Step 2: Convert to fraction form
    189,291.75/404,847.75 = 404,847.75/x
  3. Step 3: Cross multiply
    189,291.75x = 404,847.75 × 404,847.75
  4. Step 4: Simplify right side
    189,291.75x = 163,901,700,680.06
  5. Step 5: Solve for x
    x = 163,901,700,680.06/189,291.75
  6. Step 6: Final answer
    x = 865,868.17

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.