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Finding the Third Proportional to 122,340.50 and 178,185

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Solution

The third proportional to 122,340.50 and 178,185 is: 259,520.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,340.50 : 178,185 = 178,185 : x
  2. Step 2: Convert to fraction form
    122,340.50/178,185 = 178,185/x
  3. Step 3: Cross multiply
    122,340.50x = 178,185 × 178,185
  4. Step 4: Simplify right side
    122,340.50x = 31,749,894,225
  5. Step 5: Solve for x
    x = 31,749,894,225/122,340.50
  6. Step 6: Final answer
    x = 259,520.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.