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Finding the Third Proportional to 113,049.42 and 235,401.19

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Solution

The third proportional to 113,049.42 and 235,401.19 is: 490,172.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,049.42 : 235,401.19 = 235,401.19 : x
  2. Step 2: Convert to fraction form
    113,049.42/235,401.19 = 235,401.19/x
  3. Step 3: Cross multiply
    113,049.42x = 235,401.19 × 235,401.19
  4. Step 4: Simplify right side
    113,049.42x = 55,413,719,076.41
  5. Step 5: Solve for x
    x = 55,413,719,076.41/113,049.42
  6. Step 6: Final answer
    x = 490,172.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.