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Finding the Third Proportional to 203,670 and 293,355

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Solution

The third proportional to 203,670 and 293,355 is: 422,532.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,670 : 293,355 = 293,355 : x
  2. Step 2: Convert to fraction form
    203,670/293,355 = 293,355/x
  3. Step 3: Cross multiply
    203,670x = 293,355 × 293,355
  4. Step 4: Simplify right side
    203,670x = 86,057,156,025
  5. Step 5: Solve for x
    x = 86,057,156,025/203,670
  6. Step 6: Final answer
    x = 422,532.31

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.