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Finding the Third Proportional to 212,344.03 and 326,512.27

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Solution

The third proportional to 212,344.03 and 326,512.27 is: 502,063.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,344.03 : 326,512.27 = 326,512.27 : x
  2. Step 2: Convert to fraction form
    212,344.03/326,512.27 = 326,512.27/x
  3. Step 3: Cross multiply
    212,344.03x = 326,512.27 × 326,512.27
  4. Step 4: Simplify right side
    212,344.03x = 106,610,259,603.57
  5. Step 5: Solve for x
    x = 106,610,259,603.57/212,344.03
  6. Step 6: Final answer
    x = 502,063.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.