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Finding the Third Proportional to 176,003.51 and 378,541.48

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Solution

The third proportional to 176,003.51 and 378,541.48 is: 814,152.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,003.51 : 378,541.48 = 378,541.48 : x
  2. Step 2: Convert to fraction form
    176,003.51/378,541.48 = 378,541.48/x
  3. Step 3: Cross multiply
    176,003.51x = 378,541.48 × 378,541.48
  4. Step 4: Simplify right side
    176,003.51x = 143,293,649,478.12
  5. Step 5: Solve for x
    x = 143,293,649,478.12/176,003.51
  6. Step 6: Final answer
    x = 814,152.24

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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.