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Finding the Third Proportional to 202,089.38 and 280,986.19

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Solution

The third proportional to 202,089.38 and 280,986.19 is: 390,684.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,089.38 : 280,986.19 = 280,986.19 : x
  2. Step 2: Convert to fraction form
    202,089.38/280,986.19 = 280,986.19/x
  3. Step 3: Cross multiply
    202,089.38x = 280,986.19 × 280,986.19
  4. Step 4: Simplify right side
    202,089.38x = 78,953,237,565.79
  5. Step 5: Solve for x
    x = 78,953,237,565.79/202,089.38
  6. Step 6: Final answer
    x = 390,684.75

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.