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Finding the Third Proportional to 175,105.13 and 378,091.13

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Solution

The third proportional to 175,105.13 and 378,091.13 is: 816,383.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,105.13 : 378,091.13 = 378,091.13 : x
  2. Step 2: Convert to fraction form
    175,105.13/378,091.13 = 378,091.13/x
  3. Step 3: Cross multiply
    175,105.13x = 378,091.13 × 378,091.13
  4. Step 4: Simplify right side
    175,105.13x = 142,952,898,803.77
  5. Step 5: Solve for x
    x = 142,952,898,803.77/175,105.13
  6. Step 6: Final answer
    x = 816,383.29

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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.