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Finding the Third Proportional to 163,973 and 352,857

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Solution

The third proportional to 163,973 and 352,857 is: 759,320.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,973 : 352,857 = 352,857 : x
  2. Step 2: Convert to fraction form
    163,973/352,857 = 352,857/x
  3. Step 3: Cross multiply
    163,973x = 352,857 × 352,857
  4. Step 4: Simplify right side
    163,973x = 124,508,062,449
  5. Step 5: Solve for x
    x = 124,508,062,449/163,973
  6. Step 6: Final answer
    x = 759,320.51

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.