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Finding the Third Proportional to 175,192 and 362,828

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Solution

The third proportional to 175,192 and 362,828 is: 751,427.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,192 : 362,828 = 362,828 : x
  2. Step 2: Convert to fraction form
    175,192/362,828 = 362,828/x
  3. Step 3: Cross multiply
    175,192x = 362,828 × 362,828
  4. Step 4: Simplify right side
    175,192x = 131,644,157,584
  5. Step 5: Solve for x
    x = 131,644,157,584/175,192
  6. Step 6: Final answer
    x = 751,427.91

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.