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Finding the Third Proportional to 174,250 and 378,004

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Solution

The third proportional to 174,250 and 378,004 is: 820,011.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,250 : 378,004 = 378,004 : x
  2. Step 2: Convert to fraction form
    174,250/378,004 = 378,004/x
  3. Step 3: Cross multiply
    174,250x = 378,004 × 378,004
  4. Step 4: Simplify right side
    174,250x = 142,887,024,016
  5. Step 5: Solve for x
    x = 142,887,024,016/174,250
  6. Step 6: Final answer
    x = 820,011.62

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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.