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Finding the Third Proportional to 193,713.75 and 290,566.13

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Solution

The third proportional to 193,713.75 and 290,566.13 is: 435,842.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,713.75 : 290,566.13 = 290,566.13 : x
  2. Step 2: Convert to fraction form
    193,713.75/290,566.13 = 290,566.13/x
  3. Step 3: Cross multiply
    193,713.75x = 290,566.13 × 290,566.13
  4. Step 4: Simplify right side
    193,713.75x = 84,428,672,997.52
  5. Step 5: Solve for x
    x = 84,428,672,997.52/193,713.75
  6. Step 6: Final answer
    x = 435,842.44

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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.