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Finding the Third Proportional to 188,142.75 and 402,468.75

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Solution

The third proportional to 188,142.75 and 402,468.75 is: 860,947.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,142.75 : 402,468.75 = 402,468.75 : x
  2. Step 2: Convert to fraction form
    188,142.75/402,468.75 = 402,468.75/x
  3. Step 3: Cross multiply
    188,142.75x = 402,468.75 × 402,468.75
  4. Step 4: Simplify right side
    188,142.75x = 161,981,094,726.56
  5. Step 5: Solve for x
    x = 161,981,094,726.56/188,142.75
  6. Step 6: Final answer
    x = 860,947.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.