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Finding the Third Proportional to 146,145.75 and 232,725.75

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Solution

The third proportional to 146,145.75 and 232,725.75 is: 370,597.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,145.75 : 232,725.75 = 232,725.75 : x
  2. Step 2: Convert to fraction form
    146,145.75/232,725.75 = 232,725.75/x
  3. Step 3: Cross multiply
    146,145.75x = 232,725.75 × 232,725.75
  4. Step 4: Simplify right side
    146,145.75x = 54,161,274,713.06
  5. Step 5: Solve for x
    x = 54,161,274,713.06/146,145.75
  6. Step 6: Final answer
    x = 370,597.67

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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.