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Finding the Third Proportional to 193,672 and 290,412

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Solution

The third proportional to 193,672 and 290,412 is: 435,474.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,672 : 290,412 = 290,412 : x
  2. Step 2: Convert to fraction form
    193,672/290,412 = 290,412/x
  3. Step 3: Cross multiply
    193,672x = 290,412 × 290,412
  4. Step 4: Simplify right side
    193,672x = 84,339,129,744
  5. Step 5: Solve for x
    x = 84,339,129,744/193,672
  6. Step 6: Final answer
    x = 435,474.05

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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.