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Finding the Third Proportional to 149,612.06 and 324,108.84

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Solution

The third proportional to 149,612.06 and 324,108.84 is: 702,126.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,612.06 : 324,108.84 = 324,108.84 : x
  2. Step 2: Convert to fraction form
    149,612.06/324,108.84 = 324,108.84/x
  3. Step 3: Cross multiply
    149,612.06x = 324,108.84 × 324,108.84
  4. Step 4: Simplify right side
    149,612.06x = 105,046,542,596.96
  5. Step 5: Solve for x
    x = 105,046,542,596.96/149,612.06
  6. Step 6: Final answer
    x = 702,126.16

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Why These Related Problems?

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