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Finding the Third Proportional to 146,432 and 198,880

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Solution

The third proportional to 146,432 and 198,880 is: 270,113.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,432 : 198,880 = 198,880 : x
  2. Step 2: Convert to fraction form
    146,432/198,880 = 198,880/x
  3. Step 3: Cross multiply
    146,432x = 198,880 × 198,880
  4. Step 4: Simplify right side
    146,432x = 39,553,254,400
  5. Step 5: Solve for x
    x = 39,553,254,400/146,432
  6. Step 6: Final answer
    x = 270,113.46

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.