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Finding the Third Proportional to 131,544 and 198,196.88

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Solution

The third proportional to 131,544 and 198,196.88 is: 298,622.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,544 : 198,196.88 = 198,196.88 : x
  2. Step 2: Convert to fraction form
    131,544/198,196.88 = 198,196.88/x
  3. Step 3: Cross multiply
    131,544x = 198,196.88 × 198,196.88
  4. Step 4: Simplify right side
    131,544x = 39,282,001,259.77
  5. Step 5: Solve for x
    x = 39,282,001,259.77/131,544
  6. Step 6: Final answer
    x = 298,622.52

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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.