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Finding the Third Proportional to 211,764 and 317,610

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Solution

The third proportional to 211,764 and 317,610 is: 476,361.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,764 : 317,610 = 317,610 : x
  2. Step 2: Convert to fraction form
    211,764/317,610 = 317,610/x
  3. Step 3: Cross multiply
    211,764x = 317,610 × 317,610
  4. Step 4: Simplify right side
    211,764x = 100,876,112,100
  5. Step 5: Solve for x
    x = 100,876,112,100/211,764
  6. Step 6: Final answer
    x = 476,361.01

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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.