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Finding the Third Proportional to 149,631 and 322,999.50

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Solution

The third proportional to 149,631 and 322,999.50 is: 697,239.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,631 : 322,999.50 = 322,999.50 : x
  2. Step 2: Convert to fraction form
    149,631/322,999.50 = 322,999.50/x
  3. Step 3: Cross multiply
    149,631x = 322,999.50 × 322,999.50
  4. Step 4: Simplify right side
    149,631x = 104,328,677,000.25
  5. Step 5: Solve for x
    x = 104,328,677,000.25/149,631
  6. Step 6: Final answer
    x = 697,239.72

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.