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Finding the Third Proportional to 212,032 and 318,048

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Solution

The third proportional to 212,032 and 318,048 is: 477,072

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,032 : 318,048 = 318,048 : x
  2. Step 2: Convert to fraction form
    212,032/318,048 = 318,048/x
  3. Step 3: Cross multiply
    212,032x = 318,048 × 318,048
  4. Step 4: Simplify right side
    212,032x = 101,154,530,304
  5. Step 5: Solve for x
    x = 101,154,530,304/212,032
  6. Step 6: Final answer
    x = 477,072

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.