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Finding the Third Proportional to 193,035 and 290,970

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Solution

The third proportional to 193,035 and 290,970 is: 438,591.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,035 : 290,970 = 290,970 : x
  2. Step 2: Convert to fraction form
    193,035/290,970 = 290,970/x
  3. Step 3: Cross multiply
    193,035x = 290,970 × 290,970
  4. Step 4: Simplify right side
    193,035x = 84,663,540,900
  5. Step 5: Solve for x
    x = 84,663,540,900/193,035
  6. Step 6: Final answer
    x = 438,591.66

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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.