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Finding the Third Proportional to 201,905 and 313,529

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Solution

The third proportional to 201,905 and 313,529 is: 486,864.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,905 : 313,529 = 313,529 : x
  2. Step 2: Convert to fraction form
    201,905/313,529 = 313,529/x
  3. Step 3: Cross multiply
    201,905x = 313,529 × 313,529
  4. Step 4: Simplify right side
    201,905x = 98,300,433,841
  5. Step 5: Solve for x
    x = 98,300,433,841/201,905
  6. Step 6: Final answer
    x = 486,864.78

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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.