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Finding the Third Proportional to 208,132 and 433,881

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Solution

The third proportional to 208,132 and 433,881 is: 904,487.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,132 : 433,881 = 433,881 : x
  2. Step 2: Convert to fraction form
    208,132/433,881 = 433,881/x
  3. Step 3: Cross multiply
    208,132x = 433,881 × 433,881
  4. Step 4: Simplify right side
    208,132x = 188,252,722,161
  5. Step 5: Solve for x
    x = 188,252,722,161/208,132
  6. Step 6: Final answer
    x = 904,487.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.