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Finding the Third Proportional to 199,638 and 432,851

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Solution

The third proportional to 199,638 and 432,851 is: 938,498.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,638 : 432,851 = 432,851 : x
  2. Step 2: Convert to fraction form
    199,638/432,851 = 432,851/x
  3. Step 3: Cross multiply
    199,638x = 432,851 × 432,851
  4. Step 4: Simplify right side
    199,638x = 187,359,988,201
  5. Step 5: Solve for x
    x = 187,359,988,201/199,638
  6. Step 6: Final answer
    x = 938,498.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.