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Finding the Third Proportional to 206,302 and 278,348

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Solution

The third proportional to 206,302 and 278,348 is: 375,554.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,302 : 278,348 = 278,348 : x
  2. Step 2: Convert to fraction form
    206,302/278,348 = 278,348/x
  3. Step 3: Cross multiply
    206,302x = 278,348 × 278,348
  4. Step 4: Simplify right side
    206,302x = 77,477,609,104
  5. Step 5: Solve for x
    x = 77,477,609,104/206,302
  6. Step 6: Final answer
    x = 375,554.33

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.