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Finding the Third Proportional to 146,812.50 and 233,340.75

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Solution

The third proportional to 146,812.50 and 233,340.75 is: 370,866.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,812.50 : 233,340.75 = 233,340.75 : x
  2. Step 2: Convert to fraction form
    146,812.50/233,340.75 = 233,340.75/x
  3. Step 3: Cross multiply
    146,812.50x = 233,340.75 × 233,340.75
  4. Step 4: Simplify right side
    146,812.50x = 54,447,905,610.56
  5. Step 5: Solve for x
    x = 54,447,905,610.56/146,812.50
  6. Step 6: Final answer
    x = 370,866.96

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.