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Finding the Third Proportional to 186,467.06 and 408,197.81

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Solution

The third proportional to 186,467.06 and 408,197.81 is: 893,591.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,467.06 : 408,197.81 = 408,197.81 : x
  2. Step 2: Convert to fraction form
    186,467.06/408,197.81 = 408,197.81/x
  3. Step 3: Cross multiply
    186,467.06x = 408,197.81 × 408,197.81
  4. Step 4: Simplify right side
    186,467.06x = 166,625,454,129.79
  5. Step 5: Solve for x
    x = 166,625,454,129.79/186,467.06
  6. Step 6: Final answer
    x = 893,591.89

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.