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Finding the Third Proportional to 131,240 and 198,426

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Solution

The third proportional to 131,240 and 198,426 is: 300,006.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,240 : 198,426 = 198,426 : x
  2. Step 2: Convert to fraction form
    131,240/198,426 = 198,426/x
  3. Step 3: Cross multiply
    131,240x = 198,426 × 198,426
  4. Step 4: Simplify right side
    131,240x = 39,372,877,476
  5. Step 5: Solve for x
    x = 39,372,877,476/131,240
  6. Step 6: Final answer
    x = 300,006.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.