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Finding the Third Proportional to 168,803 and 368,973

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Solution

The third proportional to 168,803 and 368,973 is: 806,508.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,803 : 368,973 = 368,973 : x
  2. Step 2: Convert to fraction form
    168,803/368,973 = 368,973/x
  3. Step 3: Cross multiply
    168,803x = 368,973 × 368,973
  4. Step 4: Simplify right side
    168,803x = 136,141,074,729
  5. Step 5: Solve for x
    x = 136,141,074,729/168,803
  6. Step 6: Final answer
    x = 806,508.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.