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Finding the Third Proportional to 214,899.50 and 290,818

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Solution

The third proportional to 214,899.50 and 290,818 is: 393,556.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,899.50 : 290,818 = 290,818 : x
  2. Step 2: Convert to fraction form
    214,899.50/290,818 = 290,818/x
  3. Step 3: Cross multiply
    214,899.50x = 290,818 × 290,818
  4. Step 4: Simplify right side
    214,899.50x = 84,575,109,124
  5. Step 5: Solve for x
    x = 84,575,109,124/214,899.50
  6. Step 6: Final answer
    x = 393,556.57

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.