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Finding the Third Proportional to 205,050 and 275,907

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Solution

The third proportional to 205,050 and 275,907 is: 371,249.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,050 : 275,907 = 275,907 : x
  2. Step 2: Convert to fraction form
    205,050/275,907 = 275,907/x
  3. Step 3: Cross multiply
    205,050x = 275,907 × 275,907
  4. Step 4: Simplify right side
    205,050x = 76,124,672,649
  5. Step 5: Solve for x
    x = 76,124,672,649/205,050
  6. Step 6: Final answer
    x = 371,249.32

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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.