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Finding the Third Proportional to 175,341 and 378,045

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Solution

The third proportional to 175,341 and 378,045 is: 815,086.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,341 : 378,045 = 378,045 : x
  2. Step 2: Convert to fraction form
    175,341/378,045 = 378,045/x
  3. Step 3: Cross multiply
    175,341x = 378,045 × 378,045
  4. Step 4: Simplify right side
    175,341x = 142,918,022,025
  5. Step 5: Solve for x
    x = 142,918,022,025/175,341
  6. Step 6: Final answer
    x = 815,086.16

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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.