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Finding the Third Proportional to 207,267 and 320,060.50

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Solution

The third proportional to 207,267 and 320,060.50 is: 494,235.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,267 : 320,060.50 = 320,060.50 : x
  2. Step 2: Convert to fraction form
    207,267/320,060.50 = 320,060.50/x
  3. Step 3: Cross multiply
    207,267x = 320,060.50 × 320,060.50
  4. Step 4: Simplify right side
    207,267x = 102,438,723,660.25
  5. Step 5: Solve for x
    x = 102,438,723,660.25/207,267
  6. Step 6: Final answer
    x = 494,235.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.