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Finding the Third Proportional to 208,040 and 313,933

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Solution

The third proportional to 208,040 and 313,933 is: 473,725.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,040 : 313,933 = 313,933 : x
  2. Step 2: Convert to fraction form
    208,040/313,933 = 313,933/x
  3. Step 3: Cross multiply
    208,040x = 313,933 × 313,933
  4. Step 4: Simplify right side
    208,040x = 98,553,928,489
  5. Step 5: Solve for x
    x = 98,553,928,489/208,040
  6. Step 6: Final answer
    x = 473,725.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.