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Finding the Third Proportional to 175,092 and 254,981

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Solution

The third proportional to 175,092 and 254,981 is: 371,320.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,092 : 254,981 = 254,981 : x
  2. Step 2: Convert to fraction form
    175,092/254,981 = 254,981/x
  3. Step 3: Cross multiply
    175,092x = 254,981 × 254,981
  4. Step 4: Simplify right side
    175,092x = 65,015,310,361
  5. Step 5: Solve for x
    x = 65,015,310,361/175,092
  6. Step 6: Final answer
    x = 371,320.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.