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Finding the Third Proportional to 212,656 and 326,436

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Solution

The third proportional to 212,656 and 326,436 is: 501,093.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,656 : 326,436 = 326,436 : x
  2. Step 2: Convert to fraction form
    212,656/326,436 = 326,436/x
  3. Step 3: Cross multiply
    212,656x = 326,436 × 326,436
  4. Step 4: Simplify right side
    212,656x = 106,560,462,096
  5. Step 5: Solve for x
    x = 106,560,462,096/212,656
  6. Step 6: Final answer
    x = 501,093.14

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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.