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Finding the Third Proportional to 164,208 and 352,973

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Solution

The third proportional to 164,208 and 352,973 is: 758,732.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,208 : 352,973 = 352,973 : x
  2. Step 2: Convert to fraction form
    164,208/352,973 = 352,973/x
  3. Step 3: Cross multiply
    164,208x = 352,973 × 352,973
  4. Step 4: Simplify right side
    164,208x = 124,589,938,729
  5. Step 5: Solve for x
    x = 124,589,938,729/164,208
  6. Step 6: Final answer
    x = 758,732.45

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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.