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Finding the Third Proportional to 146,176 and 198,080

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Solution

The third proportional to 146,176 and 198,080 is: 268,414.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,176 : 198,080 = 198,080 : x
  2. Step 2: Convert to fraction form
    146,176/198,080 = 198,080/x
  3. Step 3: Cross multiply
    146,176x = 198,080 × 198,080
  4. Step 4: Simplify right side
    146,176x = 39,235,686,400
  5. Step 5: Solve for x
    x = 39,235,686,400/146,176
  6. Step 6: Final answer
    x = 268,414.01

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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.