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Finding the Third Proportional to 202,677.38 and 439,968.75

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Solution

The third proportional to 202,677.38 and 439,968.75 is: 955,077.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,677.38 : 439,968.75 = 439,968.75 : x
  2. Step 2: Convert to fraction form
    202,677.38/439,968.75 = 439,968.75/x
  3. Step 3: Cross multiply
    202,677.38x = 439,968.75 × 439,968.75
  4. Step 4: Simplify right side
    202,677.38x = 193,572,500,976.56
  5. Step 5: Solve for x
    x = 193,572,500,976.56/202,677.38
  6. Step 6: Final answer
    x = 955,077.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.