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Finding the Third Proportional to 193,676 and 290,416

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Solution

The third proportional to 193,676 and 290,416 is: 435,477.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,676 : 290,416 = 290,416 : x
  2. Step 2: Convert to fraction form
    193,676/290,416 = 290,416/x
  3. Step 3: Cross multiply
    193,676x = 290,416 × 290,416
  4. Step 4: Simplify right side
    193,676x = 84,341,453,056
  5. Step 5: Solve for x
    x = 84,341,453,056/193,676
  6. Step 6: Final answer
    x = 435,477.05

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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.