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Finding the Third Proportional to 163,730 and 361,876

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Solution

The third proportional to 163,730 and 361,876 is: 799,818.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,730 : 361,876 = 361,876 : x
  2. Step 2: Convert to fraction form
    163,730/361,876 = 361,876/x
  3. Step 3: Cross multiply
    163,730x = 361,876 × 361,876
  4. Step 4: Simplify right side
    163,730x = 130,954,239,376
  5. Step 5: Solve for x
    x = 130,954,239,376/163,730
  6. Step 6: Final answer
    x = 799,818.23

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.