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Finding the Third Proportional to 146,992 and 322,008.50

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Solution

The third proportional to 146,992 and 322,008.50 is: 705,408.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,992 : 322,008.50 = 322,008.50 : x
  2. Step 2: Convert to fraction form
    146,992/322,008.50 = 322,008.50/x
  3. Step 3: Cross multiply
    146,992x = 322,008.50 × 322,008.50
  4. Step 4: Simplify right side
    146,992x = 103,689,474,072.25
  5. Step 5: Solve for x
    x = 103,689,474,072.25/146,992
  6. Step 6: Final answer
    x = 705,408.96

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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.