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Finding the Third Proportional to 88,578 and 190,287

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Solution

The third proportional to 88,578 and 190,287 is: 408,782.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,578 : 190,287 = 190,287 : x
  2. Step 2: Convert to fraction form
    88,578/190,287 = 190,287/x
  3. Step 3: Cross multiply
    88,578x = 190,287 × 190,287
  4. Step 4: Simplify right side
    88,578x = 36,209,142,369
  5. Step 5: Solve for x
    x = 36,209,142,369/88,578
  6. Step 6: Final answer
    x = 408,782.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.