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Finding the Third Proportional to 150,873 and 223,707

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Solution

The third proportional to 150,873 and 223,707 is: 331,701.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,873 : 223,707 = 223,707 : x
  2. Step 2: Convert to fraction form
    150,873/223,707 = 223,707/x
  3. Step 3: Cross multiply
    150,873x = 223,707 × 223,707
  4. Step 4: Simplify right side
    150,873x = 50,044,821,849
  5. Step 5: Solve for x
    x = 50,044,821,849/150,873
  6. Step 6: Final answer
    x = 331,701.64

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.