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Finding the Third Proportional to 180,332 and 282,876

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Solution

The third proportional to 180,332 and 282,876 is: 443,730.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,332 : 282,876 = 282,876 : x
  2. Step 2: Convert to fraction form
    180,332/282,876 = 282,876/x
  3. Step 3: Cross multiply
    180,332x = 282,876 × 282,876
  4. Step 4: Simplify right side
    180,332x = 80,018,831,376
  5. Step 5: Solve for x
    x = 80,018,831,376/180,332
  6. Step 6: Final answer
    x = 443,730.63

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.