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Finding the Third Proportional to 250,238 and 377,517

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Solution

The third proportional to 250,238 and 377,517 is: 569,534.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,238 : 377,517 = 377,517 : x
  2. Step 2: Convert to fraction form
    250,238/377,517 = 377,517/x
  3. Step 3: Cross multiply
    250,238x = 377,517 × 377,517
  4. Step 4: Simplify right side
    250,238x = 142,519,085,289
  5. Step 5: Solve for x
    x = 142,519,085,289/250,238
  6. Step 6: Final answer
    x = 569,534.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.