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Finding the Third Proportional to 175,285 and 286,192

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Solution

The third proportional to 175,285 and 286,192 is: 467,272.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,285 : 286,192 = 286,192 : x
  2. Step 2: Convert to fraction form
    175,285/286,192 = 286,192/x
  3. Step 3: Cross multiply
    175,285x = 286,192 × 286,192
  4. Step 4: Simplify right side
    175,285x = 81,905,860,864
  5. Step 5: Solve for x
    x = 81,905,860,864/175,285
  6. Step 6: Final answer
    x = 467,272.50

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.