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Finding the Third Proportional to 193,548 and 290,406

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Solution

The third proportional to 193,548 and 290,406 is: 435,735.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,548 : 290,406 = 290,406 : x
  2. Step 2: Convert to fraction form
    193,548/290,406 = 290,406/x
  3. Step 3: Cross multiply
    193,548x = 290,406 × 290,406
  4. Step 4: Simplify right side
    193,548x = 84,335,644,836
  5. Step 5: Solve for x
    x = 84,335,644,836/193,548
  6. Step 6: Final answer
    x = 435,735.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.