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Finding the Third Proportional to 185,014.13 and 276,792.19

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Solution

The third proportional to 185,014.13 and 276,792.19 is: 414,097.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,014.13 : 276,792.19 = 276,792.19 : x
  2. Step 2: Convert to fraction form
    185,014.13/276,792.19 = 276,792.19/x
  3. Step 3: Cross multiply
    185,014.13x = 276,792.19 × 276,792.19
  4. Step 4: Simplify right side
    185,014.13x = 76,613,915,061.04
  5. Step 5: Solve for x
    x = 76,613,915,061.04/185,014.13
  6. Step 6: Final answer
    x = 414,097.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.