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Finding the Third Proportional to 174,254 and 378,012

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Solution

The third proportional to 174,254 and 378,012 is: 820,027.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,254 : 378,012 = 378,012 : x
  2. Step 2: Convert to fraction form
    174,254/378,012 = 378,012/x
  3. Step 3: Cross multiply
    174,254x = 378,012 × 378,012
  4. Step 4: Simplify right side
    174,254x = 142,893,072,144
  5. Step 5: Solve for x
    x = 142,893,072,144/174,254
  6. Step 6: Final answer
    x = 820,027.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.