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Finding the Third Proportional to 120,745 and 262,246

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Solution

The third proportional to 120,745 and 262,246 is: 569,571.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,745 : 262,246 = 262,246 : x
  2. Step 2: Convert to fraction form
    120,745/262,246 = 262,246/x
  3. Step 3: Cross multiply
    120,745x = 262,246 × 262,246
  4. Step 4: Simplify right side
    120,745x = 68,772,964,516
  5. Step 5: Solve for x
    x = 68,772,964,516/120,745
  6. Step 6: Final answer
    x = 569,571.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.