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Finding the Third Proportional to 202,000 and 313,647

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Solution

The third proportional to 202,000 and 313,647 is: 487,002.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,000 : 313,647 = 313,647 : x
  2. Step 2: Convert to fraction form
    202,000/313,647 = 313,647/x
  3. Step 3: Cross multiply
    202,000x = 313,647 × 313,647
  4. Step 4: Simplify right side
    202,000x = 98,374,440,609
  5. Step 5: Solve for x
    x = 98,374,440,609/202,000
  6. Step 6: Final answer
    x = 487,002.18

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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.