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Finding the Third Proportional to 216,033.75 and 338,904

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Solution

The third proportional to 216,033.75 and 338,904 is: 531,657.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,033.75 : 338,904 = 338,904 : x
  2. Step 2: Convert to fraction form
    216,033.75/338,904 = 338,904/x
  3. Step 3: Cross multiply
    216,033.75x = 338,904 × 338,904
  4. Step 4: Simplify right side
    216,033.75x = 114,855,921,216
  5. Step 5: Solve for x
    x = 114,855,921,216/216,033.75
  6. Step 6: Final answer
    x = 531,657.30

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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.