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Finding the Third Proportional to 120,793.78 and 262,341.28

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Solution

The third proportional to 120,793.78 and 262,341.28 is: 569,755.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,793.78 : 262,341.28 = 262,341.28 : x
  2. Step 2: Convert to fraction form
    120,793.78/262,341.28 = 262,341.28/x
  3. Step 3: Cross multiply
    120,793.78x = 262,341.28 × 262,341.28
  4. Step 4: Simplify right side
    120,793.78x = 68,822,947,847.89
  5. Step 5: Solve for x
    x = 68,822,947,847.89/120,793.78
  6. Step 6: Final answer
    x = 569,755.72

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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.