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Finding the Third Proportional to 131,993.50 and 197,994.63

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Solution

The third proportional to 131,993.50 and 197,994.63 is: 296,998.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,993.50 : 197,994.63 = 197,994.63 : x
  2. Step 2: Convert to fraction form
    131,993.50/197,994.63 = 197,994.63/x
  3. Step 3: Cross multiply
    131,993.50x = 197,994.63 × 197,994.63
  4. Step 4: Simplify right side
    131,993.50x = 39,201,871,528.89
  5. Step 5: Solve for x
    x = 39,201,871,528.89/131,993.50
  6. Step 6: Final answer
    x = 296,998.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.