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Finding the Third Proportional to 88,285 and 190,718

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Solution

The third proportional to 88,285 and 190,718 is: 411,999.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,285 : 190,718 = 190,718 : x
  2. Step 2: Convert to fraction form
    88,285/190,718 = 190,718/x
  3. Step 3: Cross multiply
    88,285x = 190,718 × 190,718
  4. Step 4: Simplify right side
    88,285x = 36,373,355,524
  5. Step 5: Solve for x
    x = 36,373,355,524/88,285
  6. Step 6: Final answer
    x = 411,999.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.