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Finding the Third Proportional to 120,224 and 263,128

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Solution

The third proportional to 120,224 and 263,128 is: 575,894.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,224 : 263,128 = 263,128 : x
  2. Step 2: Convert to fraction form
    120,224/263,128 = 263,128/x
  3. Step 3: Cross multiply
    120,224x = 263,128 × 263,128
  4. Step 4: Simplify right side
    120,224x = 69,236,344,384
  5. Step 5: Solve for x
    x = 69,236,344,384/120,224
  6. Step 6: Final answer
    x = 575,894.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.