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Finding the Third Proportional to 212,024 and 297,180

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Solution

The third proportional to 212,024 and 297,180 is: 416,537.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,024 : 297,180 = 297,180 : x
  2. Step 2: Convert to fraction form
    212,024/297,180 = 297,180/x
  3. Step 3: Cross multiply
    212,024x = 297,180 × 297,180
  4. Step 4: Simplify right side
    212,024x = 88,315,952,400
  5. Step 5: Solve for x
    x = 88,315,952,400/212,024
  6. Step 6: Final answer
    x = 416,537.53

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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.