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Finding the Third Proportional to 144,208.50 and 223,872.50

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Solution

The third proportional to 144,208.50 and 223,872.50 is: 347,544.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,208.50 : 223,872.50 = 223,872.50 : x
  2. Step 2: Convert to fraction form
    144,208.50/223,872.50 = 223,872.50/x
  3. Step 3: Cross multiply
    144,208.50x = 223,872.50 × 223,872.50
  4. Step 4: Simplify right side
    144,208.50x = 50,118,896,256.25
  5. Step 5: Solve for x
    x = 50,118,896,256.25/144,208.50
  6. Step 6: Final answer
    x = 347,544.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.