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Finding the Third Proportional to 149,809.50 and 320,942.25

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Solution

The third proportional to 149,809.50 and 320,942.25 is: 687,566.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,809.50 : 320,942.25 = 320,942.25 : x
  2. Step 2: Convert to fraction form
    149,809.50/320,942.25 = 320,942.25/x
  3. Step 3: Cross multiply
    149,809.50x = 320,942.25 × 320,942.25
  4. Step 4: Simplify right side
    149,809.50x = 103,003,927,835.06
  5. Step 5: Solve for x
    x = 103,003,927,835.06/149,809.50
  6. Step 6: Final answer
    x = 687,566.06

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.