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Finding the Third Proportional to 187,859.88 and 382,280.77

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Solution

The third proportional to 187,859.88 and 382,280.77 is: 777,912.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,859.88 : 382,280.77 = 382,280.77 : x
  2. Step 2: Convert to fraction form
    187,859.88/382,280.77 = 382,280.77/x
  3. Step 3: Cross multiply
    187,859.88x = 382,280.77 × 382,280.77
  4. Step 4: Simplify right side
    187,859.88x = 146,138,583,766.84
  5. Step 5: Solve for x
    x = 146,138,583,766.84/187,859.88
  6. Step 6: Final answer
    x = 777,912.67

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.