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Finding the Third Proportional to 212,132 and 446,078

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Solution

The third proportional to 212,132 and 446,078 is: 938,027.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,132 : 446,078 = 446,078 : x
  2. Step 2: Convert to fraction form
    212,132/446,078 = 446,078/x
  3. Step 3: Cross multiply
    212,132x = 446,078 × 446,078
  4. Step 4: Simplify right side
    212,132x = 198,985,582,084
  5. Step 5: Solve for x
    x = 198,985,582,084/212,132
  6. Step 6: Final answer
    x = 938,027.18

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.