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Finding the Third Proportional to 188,014.50 and 410,328

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Solution

The third proportional to 188,014.50 and 410,328 is: 895,511.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,014.50 : 410,328 = 410,328 : x
  2. Step 2: Convert to fraction form
    188,014.50/410,328 = 410,328/x
  3. Step 3: Cross multiply
    188,014.50x = 410,328 × 410,328
  4. Step 4: Simplify right side
    188,014.50x = 168,369,067,584
  5. Step 5: Solve for x
    x = 168,369,067,584/188,014.50
  6. Step 6: Final answer
    x = 895,511.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.