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Finding the Third Proportional to 212,404 and 296,974

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Solution

The third proportional to 212,404 and 296,974 is: 415,216.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,404 : 296,974 = 296,974 : x
  2. Step 2: Convert to fraction form
    212,404/296,974 = 296,974/x
  3. Step 3: Cross multiply
    212,404x = 296,974 × 296,974
  4. Step 4: Simplify right side
    212,404x = 88,193,556,676
  5. Step 5: Solve for x
    x = 88,193,556,676/212,404
  6. Step 6: Final answer
    x = 415,216.08

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.