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Finding the Third Proportional to 188,670.75 and 256,365.75

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Solution

The third proportional to 188,670.75 and 256,365.75 is: 348,349.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,670.75 : 256,365.75 = 256,365.75 : x
  2. Step 2: Convert to fraction form
    188,670.75/256,365.75 = 256,365.75/x
  3. Step 3: Cross multiply
    188,670.75x = 256,365.75 × 256,365.75
  4. Step 4: Simplify right side
    188,670.75x = 65,723,397,773.06
  5. Step 5: Solve for x
    x = 65,723,397,773.06/188,670.75
  6. Step 6: Final answer
    x = 348,349.69

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.