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Finding the Third Proportional to 148,238 and 326,002

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Solution

The third proportional to 148,238 and 326,002 is: 716,936.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,238 : 326,002 = 326,002 : x
  2. Step 2: Convert to fraction form
    148,238/326,002 = 326,002/x
  3. Step 3: Cross multiply
    148,238x = 326,002 × 326,002
  4. Step 4: Simplify right side
    148,238x = 106,277,304,004
  5. Step 5: Solve for x
    x = 106,277,304,004/148,238
  6. Step 6: Final answer
    x = 716,936.98

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.