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Finding the Third Proportional to 203,512 and 299,169

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Solution

The third proportional to 203,512 and 299,169 is: 439,787.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,512 : 299,169 = 299,169 : x
  2. Step 2: Convert to fraction form
    203,512/299,169 = 299,169/x
  3. Step 3: Cross multiply
    203,512x = 299,169 × 299,169
  4. Step 4: Simplify right side
    203,512x = 89,502,090,561
  5. Step 5: Solve for x
    x = 89,502,090,561/203,512
  6. Step 6: Final answer
    x = 439,787.78

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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.