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Finding the Third Proportional to 163,462 and 247,638

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Solution

The third proportional to 163,462 and 247,638 is: 375,161.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,462 : 247,638 = 247,638 : x
  2. Step 2: Convert to fraction form
    163,462/247,638 = 247,638/x
  3. Step 3: Cross multiply
    163,462x = 247,638 × 247,638
  4. Step 4: Simplify right side
    163,462x = 61,324,579,044
  5. Step 5: Solve for x
    x = 61,324,579,044/163,462
  6. Step 6: Final answer
    x = 375,161.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.