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Finding the Third Proportional to 144,711 and 223,627

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Solution

The third proportional to 144,711 and 223,627 is: 345,578.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,711 : 223,627 = 223,627 : x
  2. Step 2: Convert to fraction form
    144,711/223,627 = 223,627/x
  3. Step 3: Cross multiply
    144,711x = 223,627 × 223,627
  4. Step 4: Simplify right side
    144,711x = 50,009,035,129
  5. Step 5: Solve for x
    x = 50,009,035,129/144,711
  6. Step 6: Final answer
    x = 345,578.67

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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.