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Finding the Third Proportional to 201,616 and 313,586

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Solution

The third proportional to 201,616 and 313,586 is: 487,739.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,616 : 313,586 = 313,586 : x
  2. Step 2: Convert to fraction form
    201,616/313,586 = 313,586/x
  3. Step 3: Cross multiply
    201,616x = 313,586 × 313,586
  4. Step 4: Simplify right side
    201,616x = 98,336,179,396
  5. Step 5: Solve for x
    x = 98,336,179,396/201,616
  6. Step 6: Final answer
    x = 487,739.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.