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Finding the Third Proportional to 176,009 and 378,555

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Solution

The third proportional to 176,009 and 378,555 is: 814,185.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,009 : 378,555 = 378,555 : x
  2. Step 2: Convert to fraction form
    176,009/378,555 = 378,555/x
  3. Step 3: Cross multiply
    176,009x = 378,555 × 378,555
  4. Step 4: Simplify right side
    176,009x = 143,303,888,025
  5. Step 5: Solve for x
    x = 143,303,888,025/176,009
  6. Step 6: Final answer
    x = 814,185.00

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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.