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Finding the Third Proportional to 248,082.12 and 371,146.43

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Solution

The third proportional to 248,082.12 and 371,146.43 is: 555,258.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,082.12 : 371,146.43 = 371,146.43 : x
  2. Step 2: Convert to fraction form
    248,082.12/371,146.43 = 371,146.43/x
  3. Step 3: Cross multiply
    248,082.12x = 371,146.43 × 371,146.43
  4. Step 4: Simplify right side
    248,082.12x = 137,749,672,269.78
  5. Step 5: Solve for x
    x = 137,749,672,269.78/248,082.12
  6. Step 6: Final answer
    x = 555,258.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.