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Finding the Third Proportional to 208,410.75 and 322,913.25

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Solution

The third proportional to 208,410.75 and 322,913.25 is: 500,324.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,410.75 : 322,913.25 = 322,913.25 : x
  2. Step 2: Convert to fraction form
    208,410.75/322,913.25 = 322,913.25/x
  3. Step 3: Cross multiply
    208,410.75x = 322,913.25 × 322,913.25
  4. Step 4: Simplify right side
    208,410.75x = 104,272,967,025.56
  5. Step 5: Solve for x
    x = 104,272,967,025.56/208,410.75
  6. Step 6: Final answer
    x = 500,324.32

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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.