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Finding the Third Proportional to 131,598.75 and 196,521

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Solution

The third proportional to 131,598.75 and 196,521 is: 293,471.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,598.75 : 196,521 = 196,521 : x
  2. Step 2: Convert to fraction form
    131,598.75/196,521 = 196,521/x
  3. Step 3: Cross multiply
    131,598.75x = 196,521 × 196,521
  4. Step 4: Simplify right side
    131,598.75x = 38,620,503,441
  5. Step 5: Solve for x
    x = 38,620,503,441/131,598.75
  6. Step 6: Final answer
    x = 293,471.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.