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Finding the Third Proportional to 201,808 and 315,888

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Solution

The third proportional to 201,808 and 315,888 is: 494,456.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,808 : 315,888 = 315,888 : x
  2. Step 2: Convert to fraction form
    201,808/315,888 = 315,888/x
  3. Step 3: Cross multiply
    201,808x = 315,888 × 315,888
  4. Step 4: Simplify right side
    201,808x = 99,785,228,544
  5. Step 5: Solve for x
    x = 99,785,228,544/201,808
  6. Step 6: Final answer
    x = 494,456.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.