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Finding the Third Proportional to 206,944.88 and 296,475.19

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Solution

The third proportional to 206,944.88 and 296,475.19 is: 424,738.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,944.88 : 296,475.19 = 296,475.19 : x
  2. Step 2: Convert to fraction form
    206,944.88/296,475.19 = 296,475.19/x
  3. Step 3: Cross multiply
    206,944.88x = 296,475.19 × 296,475.19
  4. Step 4: Simplify right side
    206,944.88x = 87,897,536,803.16
  5. Step 5: Solve for x
    x = 87,897,536,803.16/206,944.88
  6. Step 6: Final answer
    x = 424,738.89

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.