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Finding the Third Proportional to 206,592 and 319,002

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Solution

The third proportional to 206,592 and 319,002 is: 492,576.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,592 : 319,002 = 319,002 : x
  2. Step 2: Convert to fraction form
    206,592/319,002 = 319,002/x
  3. Step 3: Cross multiply
    206,592x = 319,002 × 319,002
  4. Step 4: Simplify right side
    206,592x = 101,762,276,004
  5. Step 5: Solve for x
    x = 101,762,276,004/206,592
  6. Step 6: Final answer
    x = 492,576.07

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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.