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Finding the Third Proportional to 94,377.38 and 207,405

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Solution

The third proportional to 94,377.38 and 207,405 is: 455,796.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,377.38 : 207,405 = 207,405 : x
  2. Step 2: Convert to fraction form
    94,377.38/207,405 = 207,405/x
  3. Step 3: Cross multiply
    94,377.38x = 207,405 × 207,405
  4. Step 4: Simplify right side
    94,377.38x = 43,016,834,025
  5. Step 5: Solve for x
    x = 43,016,834,025/94,377.38
  6. Step 6: Final answer
    x = 455,796.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.