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Finding the Third Proportional to 242,092 and 376,398

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Solution

The third proportional to 242,092 and 376,398 is: 585,213.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,092 : 376,398 = 376,398 : x
  2. Step 2: Convert to fraction form
    242,092/376,398 = 376,398/x
  3. Step 3: Cross multiply
    242,092x = 376,398 × 376,398
  4. Step 4: Simplify right side
    242,092x = 141,675,454,404
  5. Step 5: Solve for x
    x = 141,675,454,404/242,092
  6. Step 6: Final answer
    x = 585,213.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.