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Finding the Third Proportional to 146,880 and 193,968

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Solution

The third proportional to 146,880 and 193,968 is: 256,151.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,880 : 193,968 = 193,968 : x
  2. Step 2: Convert to fraction form
    146,880/193,968 = 193,968/x
  3. Step 3: Cross multiply
    146,880x = 193,968 × 193,968
  4. Step 4: Simplify right side
    146,880x = 37,623,585,024
  5. Step 5: Solve for x
    x = 37,623,585,024/146,880
  6. Step 6: Final answer
    x = 256,151.86

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.