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Finding the Third Proportional to 213,734.06 and 333,540.94

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Solution

The third proportional to 213,734.06 and 333,540.94 is: 520,504.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,734.06 : 333,540.94 = 333,540.94 : x
  2. Step 2: Convert to fraction form
    213,734.06/333,540.94 = 333,540.94/x
  3. Step 3: Cross multiply
    213,734.06x = 333,540.94 × 333,540.94
  4. Step 4: Simplify right side
    213,734.06x = 111,249,556,988.38
  5. Step 5: Solve for x
    x = 111,249,556,988.38/213,734.06
  6. Step 6: Final answer
    x = 520,504.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.