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Finding the Third Proportional to 147,804.75 and 324,222.75

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Solution

The third proportional to 147,804.75 and 324,222.75 is: 711,211.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,804.75 : 324,222.75 = 324,222.75 : x
  2. Step 2: Convert to fraction form
    147,804.75/324,222.75 = 324,222.75/x
  3. Step 3: Cross multiply
    147,804.75x = 324,222.75 × 324,222.75
  4. Step 4: Simplify right side
    147,804.75x = 105,120,391,617.56
  5. Step 5: Solve for x
    x = 105,120,391,617.56/147,804.75
  6. Step 6: Final answer
    x = 711,211.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.