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Finding the Third Proportional to 213,733.69 and 338,433.19

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Solution

The third proportional to 213,733.69 and 338,433.19 is: 535,886.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,733.69 : 338,433.19 = 338,433.19 : x
  2. Step 2: Convert to fraction form
    213,733.69/338,433.19 = 338,433.19/x
  3. Step 3: Cross multiply
    213,733.69x = 338,433.19 × 338,433.19
  4. Step 4: Simplify right side
    213,733.69x = 114,537,022,401.41
  5. Step 5: Solve for x
    x = 114,537,022,401.41/213,733.69
  6. Step 6: Final answer
    x = 535,886.62

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.