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Finding the Third Proportional to 164,164 and 352,848

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Solution

The third proportional to 164,164 and 352,848 is: 758,398.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,164 : 352,848 = 352,848 : x
  2. Step 2: Convert to fraction form
    164,164/352,848 = 352,848/x
  3. Step 3: Cross multiply
    164,164x = 352,848 × 352,848
  4. Step 4: Simplify right side
    164,164x = 124,501,711,104
  5. Step 5: Solve for x
    x = 124,501,711,104/164,164
  6. Step 6: Final answer
    x = 758,398.38

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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.