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Finding the Third Proportional to 231,668.25 and 369,984.75

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Solution

The third proportional to 231,668.25 and 369,984.75 is: 590,882.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,668.25 : 369,984.75 = 369,984.75 : x
  2. Step 2: Convert to fraction form
    231,668.25/369,984.75 = 369,984.75/x
  3. Step 3: Cross multiply
    231,668.25x = 369,984.75 × 369,984.75
  4. Step 4: Simplify right side
    231,668.25x = 136,888,715,232.56
  5. Step 5: Solve for x
    x = 136,888,715,232.56/231,668.25
  6. Step 6: Final answer
    x = 590,882.50

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.