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Finding the Third Proportional to 146,142 and 198,044

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Solution

The third proportional to 146,142 and 198,044 is: 268,378.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,142 : 198,044 = 198,044 : x
  2. Step 2: Convert to fraction form
    146,142/198,044 = 198,044/x
  3. Step 3: Cross multiply
    146,142x = 198,044 × 198,044
  4. Step 4: Simplify right side
    146,142x = 39,221,425,936
  5. Step 5: Solve for x
    x = 39,221,425,936/146,142
  6. Step 6: Final answer
    x = 268,378.88

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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.