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Finding the Third Proportional to 211,366.13 and 327,657.38

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Solution

The third proportional to 211,366.13 and 327,657.38 is: 507,930.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,366.13 : 327,657.38 = 327,657.38 : x
  2. Step 2: Convert to fraction form
    211,366.13/327,657.38 = 327,657.38/x
  3. Step 3: Cross multiply
    211,366.13x = 327,657.38 × 327,657.38
  4. Step 4: Simplify right side
    211,366.13x = 107,359,355,391.89
  5. Step 5: Solve for x
    x = 107,359,355,391.89/211,366.13
  6. Step 6: Final answer
    x = 507,930.75

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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.