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Finding the Third Proportional to 202,170 and 313,914

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Solution

The third proportional to 202,170 and 313,914 is: 487,421.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,170 : 313,914 = 313,914 : x
  2. Step 2: Convert to fraction form
    202,170/313,914 = 313,914/x
  3. Step 3: Cross multiply
    202,170x = 313,914 × 313,914
  4. Step 4: Simplify right side
    202,170x = 98,541,999,396
  5. Step 5: Solve for x
    x = 98,541,999,396/202,170
  6. Step 6: Final answer
    x = 487,421.47

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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.