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Finding the Third Proportional to 202,769 and 296,449

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Solution

The third proportional to 202,769 and 296,449 is: 433,409.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,769 : 296,449 = 296,449 : x
  2. Step 2: Convert to fraction form
    202,769/296,449 = 296,449/x
  3. Step 3: Cross multiply
    202,769x = 296,449 × 296,449
  4. Step 4: Simplify right side
    202,769x = 87,882,009,601
  5. Step 5: Solve for x
    x = 87,882,009,601/202,769
  6. Step 6: Final answer
    x = 433,409.49

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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.