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Finding the Third Proportional to 149,590.13 and 324,102.94

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Solution

The third proportional to 149,590.13 and 324,102.94 is: 702,203.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,590.13 : 324,102.94 = 324,102.94 : x
  2. Step 2: Convert to fraction form
    149,590.13/324,102.94 = 324,102.94/x
  3. Step 3: Cross multiply
    149,590.13x = 324,102.94 × 324,102.94
  4. Step 4: Simplify right side
    149,590.13x = 105,042,714,096.13
  5. Step 5: Solve for x
    x = 105,042,714,096.13/149,590.13
  6. Step 6: Final answer
    x = 702,203.53

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.