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Finding the Third Proportional to 146,056.75 and 231,079.75

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Solution

The third proportional to 146,056.75 and 231,079.75 is: 365,596.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,056.75 : 231,079.75 = 231,079.75 : x
  2. Step 2: Convert to fraction form
    146,056.75/231,079.75 = 231,079.75/x
  3. Step 3: Cross multiply
    146,056.75x = 231,079.75 × 231,079.75
  4. Step 4: Simplify right side
    146,056.75x = 53,397,850,860.06
  5. Step 5: Solve for x
    x = 53,397,850,860.06/146,056.75
  6. Step 6: Final answer
    x = 365,596.60

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.