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Finding the Third Proportional to 202,904 and 316,638

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Solution

The third proportional to 202,904 and 316,638 is: 494,123.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,904 : 316,638 = 316,638 : x
  2. Step 2: Convert to fraction form
    202,904/316,638 = 316,638/x
  3. Step 3: Cross multiply
    202,904x = 316,638 × 316,638
  4. Step 4: Simplify right side
    202,904x = 100,259,623,044
  5. Step 5: Solve for x
    x = 100,259,623,044/202,904
  6. Step 6: Final answer
    x = 494,123.44

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.