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Finding the Third Proportional to 203,586 and 299,297

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Solution

The third proportional to 203,586 and 299,297 is: 440,004.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,586 : 299,297 = 299,297 : x
  2. Step 2: Convert to fraction form
    203,586/299,297 = 299,297/x
  3. Step 3: Cross multiply
    203,586x = 299,297 × 299,297
  4. Step 4: Simplify right side
    203,586x = 89,578,694,209
  5. Step 5: Solve for x
    x = 89,578,694,209/203,586
  6. Step 6: Final answer
    x = 440,004.20

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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.