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Finding the Third Proportional to 193,288 and 399,835

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Solution

The third proportional to 193,288 and 399,835 is: 827,097.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,288 : 399,835 = 399,835 : x
  2. Step 2: Convert to fraction form
    193,288/399,835 = 399,835/x
  3. Step 3: Cross multiply
    193,288x = 399,835 × 399,835
  4. Step 4: Simplify right side
    193,288x = 159,868,027,225
  5. Step 5: Solve for x
    x = 159,868,027,225/193,288
  6. Step 6: Final answer
    x = 827,097.53

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.