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Finding the Third Proportional to 202,166 and 313,907

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Solution

The third proportional to 202,166 and 313,907 is: 487,409.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,166 : 313,907 = 313,907 : x
  2. Step 2: Convert to fraction form
    202,166/313,907 = 313,907/x
  3. Step 3: Cross multiply
    202,166x = 313,907 × 313,907
  4. Step 4: Simplify right side
    202,166x = 98,537,604,649
  5. Step 5: Solve for x
    x = 98,537,604,649/202,166
  6. Step 6: Final answer
    x = 487,409.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.