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Finding the Third Proportional to 202,156 and 313,896

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Solution

The third proportional to 202,156 and 313,896 is: 487,399.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,156 : 313,896 = 313,896 : x
  2. Step 2: Convert to fraction form
    202,156/313,896 = 313,896/x
  3. Step 3: Cross multiply
    202,156x = 313,896 × 313,896
  4. Step 4: Simplify right side
    202,156x = 98,530,698,816
  5. Step 5: Solve for x
    x = 98,530,698,816/202,156
  6. Step 6: Final answer
    x = 487,399.33

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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.