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Finding the Third Proportional to 206,955 and 319,599

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Solution

The third proportional to 206,955 and 319,599 is: 493,554.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,955 : 319,599 = 319,599 : x
  2. Step 2: Convert to fraction form
    206,955/319,599 = 319,599/x
  3. Step 3: Cross multiply
    206,955x = 319,599 × 319,599
  4. Step 4: Simplify right side
    206,955x = 102,143,520,801
  5. Step 5: Solve for x
    x = 102,143,520,801/206,955
  6. Step 6: Final answer
    x = 493,554.25

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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.