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Finding the Third Proportional to 137,764 and 198,426

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Solution

The third proportional to 137,764 and 198,426 is: 285,799.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,764 : 198,426 = 198,426 : x
  2. Step 2: Convert to fraction form
    137,764/198,426 = 198,426/x
  3. Step 3: Cross multiply
    137,764x = 198,426 × 198,426
  4. Step 4: Simplify right side
    137,764x = 39,372,877,476
  5. Step 5: Solve for x
    x = 39,372,877,476/137,764
  6. Step 6: Final answer
    x = 285,799.46

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.