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Finding the Third Proportional to 110,222 and 164,904.50

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Solution

The third proportional to 110,222 and 164,904.50 is: 246,715.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,222 : 164,904.50 = 164,904.50 : x
  2. Step 2: Convert to fraction form
    110,222/164,904.50 = 164,904.50/x
  3. Step 3: Cross multiply
    110,222x = 164,904.50 × 164,904.50
  4. Step 4: Simplify right side
    110,222x = 27,193,494,120.25
  5. Step 5: Solve for x
    x = 27,193,494,120.25/110,222
  6. Step 6: Final answer
    x = 246,715.67

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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.