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Finding the Third Proportional to 199,426.22 and 296,007.75

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Solution

The third proportional to 199,426.22 and 296,007.75 is: 439,363.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,426.22 : 296,007.75 = 296,007.75 : x
  2. Step 2: Convert to fraction form
    199,426.22/296,007.75 = 296,007.75/x
  3. Step 3: Cross multiply
    199,426.22x = 296,007.75 × 296,007.75
  4. Step 4: Simplify right side
    199,426.22x = 87,620,588,060.06
  5. Step 5: Solve for x
    x = 87,620,588,060.06/199,426.22
  6. Step 6: Final answer
    x = 439,363.43

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.