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Finding the Third Proportional to 152,610.75 and 324,904.50

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Solution

The third proportional to 152,610.75 and 324,904.50 is: 691,713.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,610.75 : 324,904.50 = 324,904.50 : x
  2. Step 2: Convert to fraction form
    152,610.75/324,904.50 = 324,904.50/x
  3. Step 3: Cross multiply
    152,610.75x = 324,904.50 × 324,904.50
  4. Step 4: Simplify right side
    152,610.75x = 105,562,934,120.25
  5. Step 5: Solve for x
    x = 105,562,934,120.25/152,610.75
  6. Step 6: Final answer
    x = 691,713.62

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.