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Finding the Third Proportional to 120,894.61 and 251,601.19

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Solution

The third proportional to 120,894.61 and 251,601.19 is: 523,622.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,894.61 : 251,601.19 = 251,601.19 : x
  2. Step 2: Convert to fraction form
    120,894.61/251,601.19 = 251,601.19/x
  3. Step 3: Cross multiply
    120,894.61x = 251,601.19 × 251,601.19
  4. Step 4: Simplify right side
    120,894.61x = 63,303,157,551.41
  5. Step 5: Solve for x
    x = 63,303,157,551.41/120,894.61
  6. Step 6: Final answer
    x = 523,622.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.