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Finding the Third Proportional to 201,920 and 313,550

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Solution

The third proportional to 201,920 and 313,550 is: 486,893.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,920 : 313,550 = 313,550 : x
  2. Step 2: Convert to fraction form
    201,920/313,550 = 313,550/x
  3. Step 3: Cross multiply
    201,920x = 313,550 × 313,550
  4. Step 4: Simplify right side
    201,920x = 98,313,602,500
  5. Step 5: Solve for x
    x = 98,313,602,500/201,920
  6. Step 6: Final answer
    x = 486,893.83

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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.