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Finding the Third Proportional to 133,970 and 207,350

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Solution

The third proportional to 133,970 and 207,350 is: 320,922.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,970 : 207,350 = 207,350 : x
  2. Step 2: Convert to fraction form
    133,970/207,350 = 207,350/x
  3. Step 3: Cross multiply
    133,970x = 207,350 × 207,350
  4. Step 4: Simplify right side
    133,970x = 42,994,022,500
  5. Step 5: Solve for x
    x = 42,994,022,500/133,970
  6. Step 6: Final answer
    x = 320,922.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.