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Finding the Third Proportional to 152,083 and 313,802

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Solution

The third proportional to 152,083 and 313,802 is: 647,486.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,083 : 313,802 = 313,802 : x
  2. Step 2: Convert to fraction form
    152,083/313,802 = 313,802/x
  3. Step 3: Cross multiply
    152,083x = 313,802 × 313,802
  4. Step 4: Simplify right side
    152,083x = 98,471,695,204
  5. Step 5: Solve for x
    x = 98,471,695,204/152,083
  6. Step 6: Final answer
    x = 647,486.54

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.