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Finding the Third Proportional to 128,797.50 and 197,019

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Solution

The third proportional to 128,797.50 and 197,019 is: 301,376.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,797.50 : 197,019 = 197,019 : x
  2. Step 2: Convert to fraction form
    128,797.50/197,019 = 197,019/x
  3. Step 3: Cross multiply
    128,797.50x = 197,019 × 197,019
  4. Step 4: Simplify right side
    128,797.50x = 38,816,486,361
  5. Step 5: Solve for x
    x = 38,816,486,361/128,797.50
  6. Step 6: Final answer
    x = 301,376.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.