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Finding the Third Proportional to 191,818.50 and 290,393

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Solution

The third proportional to 191,818.50 and 290,393 is: 439,624.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,818.50 : 290,393 = 290,393 : x
  2. Step 2: Convert to fraction form
    191,818.50/290,393 = 290,393/x
  3. Step 3: Cross multiply
    191,818.50x = 290,393 × 290,393
  4. Step 4: Simplify right side
    191,818.50x = 84,328,094,449
  5. Step 5: Solve for x
    x = 84,328,094,449/191,818.50
  6. Step 6: Final answer
    x = 439,624.41

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.