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Finding the Third Proportional to 206,475 and 319,100

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Solution

The third proportional to 206,475 and 319,100 is: 493,158.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,475 : 319,100 = 319,100 : x
  2. Step 2: Convert to fraction form
    206,475/319,100 = 319,100/x
  3. Step 3: Cross multiply
    206,475x = 319,100 × 319,100
  4. Step 4: Simplify right side
    206,475x = 101,824,810,000
  5. Step 5: Solve for x
    x = 101,824,810,000/206,475
  6. Step 6: Final answer
    x = 493,158.06

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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.