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Finding the Third Proportional to 199,536 and 293,469

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Solution

The third proportional to 199,536 and 293,469 is: 431,621.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,536 : 293,469 = 293,469 : x
  2. Step 2: Convert to fraction form
    199,536/293,469 = 293,469/x
  3. Step 3: Cross multiply
    199,536x = 293,469 × 293,469
  4. Step 4: Simplify right side
    199,536x = 86,124,053,961
  5. Step 5: Solve for x
    x = 86,124,053,961/199,536
  6. Step 6: Final answer
    x = 431,621.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.