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Finding the Third Proportional to 182,792 and 276,492

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Solution

The third proportional to 182,792 and 276,492 is: 418,223.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,792 : 276,492 = 276,492 : x
  2. Step 2: Convert to fraction form
    182,792/276,492 = 276,492/x
  3. Step 3: Cross multiply
    182,792x = 276,492 × 276,492
  4. Step 4: Simplify right side
    182,792x = 76,447,826,064
  5. Step 5: Solve for x
    x = 76,447,826,064/182,792
  6. Step 6: Final answer
    x = 418,223.04

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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.