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Finding the Third Proportional to 257,517 and 346,530

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Solution

The third proportional to 257,517 and 346,530 is: 466,311.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,517 : 346,530 = 346,530 : x
  2. Step 2: Convert to fraction form
    257,517/346,530 = 346,530/x
  3. Step 3: Cross multiply
    257,517x = 346,530 × 346,530
  4. Step 4: Simplify right side
    257,517x = 120,083,040,900
  5. Step 5: Solve for x
    x = 120,083,040,900/257,517
  6. Step 6: Final answer
    x = 466,311.12

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.