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Finding the Third Proportional to 148,066 and 324,938

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Solution

The third proportional to 148,066 and 324,938 is: 713,092.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,066 : 324,938 = 324,938 : x
  2. Step 2: Convert to fraction form
    148,066/324,938 = 324,938/x
  3. Step 3: Cross multiply
    148,066x = 324,938 × 324,938
  4. Step 4: Simplify right side
    148,066x = 105,584,703,844
  5. Step 5: Solve for x
    x = 105,584,703,844/148,066
  6. Step 6: Final answer
    x = 713,092.16

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