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Finding the Third Proportional to 214,022 and 317,952

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Solution

The third proportional to 214,022 and 317,952 is: 472,350.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,022 : 317,952 = 317,952 : x
  2. Step 2: Convert to fraction form
    214,022/317,952 = 317,952/x
  3. Step 3: Cross multiply
    214,022x = 317,952 × 317,952
  4. Step 4: Simplify right side
    214,022x = 101,093,474,304
  5. Step 5: Solve for x
    x = 101,093,474,304/214,022
  6. Step 6: Final answer
    x = 472,350.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.