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Finding the Third Proportional to 236,353 and 354,695

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Solution

The third proportional to 236,353 and 354,695 is: 532,290.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,353 : 354,695 = 354,695 : x
  2. Step 2: Convert to fraction form
    236,353/354,695 = 354,695/x
  3. Step 3: Cross multiply
    236,353x = 354,695 × 354,695
  4. Step 4: Simplify right side
    236,353x = 125,808,543,025
  5. Step 5: Solve for x
    x = 125,808,543,025/236,353
  6. Step 6: Final answer
    x = 532,290.87

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