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Finding the Third Proportional to 95,440 and 203,520

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Solution

The third proportional to 95,440 and 203,520 is: 433,994.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,440 : 203,520 = 203,520 : x
  2. Step 2: Convert to fraction form
    95,440/203,520 = 203,520/x
  3. Step 3: Cross multiply
    95,440x = 203,520 × 203,520
  4. Step 4: Simplify right side
    95,440x = 41,420,390,400
  5. Step 5: Solve for x
    x = 41,420,390,400/95,440
  6. Step 6: Final answer
    x = 433,994.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.