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Finding the Third Proportional to 175,852 and 378,346

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Solution

The third proportional to 175,852 and 378,346 is: 814,012.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,852 : 378,346 = 378,346 : x
  2. Step 2: Convert to fraction form
    175,852/378,346 = 378,346/x
  3. Step 3: Cross multiply
    175,852x = 378,346 × 378,346
  4. Step 4: Simplify right side
    175,852x = 143,145,695,716
  5. Step 5: Solve for x
    x = 143,145,695,716/175,852
  6. Step 6: Final answer
    x = 814,012.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.