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Finding the Third Proportional to 206,595 and 319,004

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Solution

The third proportional to 206,595 and 319,004 is: 492,575.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,595 : 319,004 = 319,004 : x
  2. Step 2: Convert to fraction form
    206,595/319,004 = 319,004/x
  3. Step 3: Cross multiply
    206,595x = 319,004 × 319,004
  4. Step 4: Simplify right side
    206,595x = 101,763,552,016
  5. Step 5: Solve for x
    x = 101,763,552,016/206,595
  6. Step 6: Final answer
    x = 492,575.10

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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.