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Finding the Third Proportional to 263,203 and 375,120

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Solution

The third proportional to 263,203 and 375,120 is: 534,625.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,203 : 375,120 = 375,120 : x
  2. Step 2: Convert to fraction form
    263,203/375,120 = 375,120/x
  3. Step 3: Cross multiply
    263,203x = 375,120 × 375,120
  4. Step 4: Simplify right side
    263,203x = 140,715,014,400
  5. Step 5: Solve for x
    x = 140,715,014,400/263,203
  6. Step 6: Final answer
    x = 534,625.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.