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Finding the Third Proportional to 120,792 and 256,200

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Solution

The third proportional to 120,792 and 256,200 is: 543,400.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,792 : 256,200 = 256,200 : x
  2. Step 2: Convert to fraction form
    120,792/256,200 = 256,200/x
  3. Step 3: Cross multiply
    120,792x = 256,200 × 256,200
  4. Step 4: Simplify right side
    120,792x = 65,638,440,000
  5. Step 5: Solve for x
    x = 65,638,440,000/120,792
  6. Step 6: Final answer
    x = 543,400.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.