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Finding the Third Proportional to 238,771.13 and 520,188.75

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Solution

The third proportional to 238,771.13 and 520,188.75 is: 1,133,287.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,771.13 : 520,188.75 = 520,188.75 : x
  2. Step 2: Convert to fraction form
    238,771.13/520,188.75 = 520,188.75/x
  3. Step 3: Cross multiply
    238,771.13x = 520,188.75 × 520,188.75
  4. Step 4: Simplify right side
    238,771.13x = 270,596,335,626.56
  5. Step 5: Solve for x
    x = 270,596,335,626.56/238,771.13
  6. Step 6: Final answer
    x = 1,133,287.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.