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Finding the Third Proportional to 193,360.50 and 418,974

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Solution

The third proportional to 193,360.50 and 418,974 is: 907,833.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,360.50 : 418,974 = 418,974 : x
  2. Step 2: Convert to fraction form
    193,360.50/418,974 = 418,974/x
  3. Step 3: Cross multiply
    193,360.50x = 418,974 × 418,974
  4. Step 4: Simplify right side
    193,360.50x = 175,539,212,676
  5. Step 5: Solve for x
    x = 175,539,212,676/193,360.50
  6. Step 6: Final answer
    x = 907,833.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.