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Finding the Third Proportional to 120,541.50 and 262,512.38

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Solution

The third proportional to 120,541.50 and 262,512.38 is: 571,693.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,541.50 : 262,512.38 = 262,512.38 : x
  2. Step 2: Convert to fraction form
    120,541.50/262,512.38 = 262,512.38/x
  3. Step 3: Cross multiply
    120,541.50x = 262,512.38 × 262,512.38
  4. Step 4: Simplify right side
    120,541.50x = 68,912,747,028.14
  5. Step 5: Solve for x
    x = 68,912,747,028.14/120,541.50
  6. Step 6: Final answer
    x = 571,693.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.