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Finding the Third Proportional to 202,764 and 296,442

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Solution

The third proportional to 202,764 and 296,442 is: 433,399.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,764 : 296,442 = 296,442 : x
  2. Step 2: Convert to fraction form
    202,764/296,442 = 296,442/x
  3. Step 3: Cross multiply
    202,764x = 296,442 × 296,442
  4. Step 4: Simplify right side
    202,764x = 87,877,859,364
  5. Step 5: Solve for x
    x = 87,877,859,364/202,764
  6. Step 6: Final answer
    x = 433,399.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.