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Finding the Third Proportional to 211,329 and 317,094.75

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Solution

The third proportional to 211,329 and 317,094.75 is: 475,794.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,329 : 317,094.75 = 317,094.75 : x
  2. Step 2: Convert to fraction form
    211,329/317,094.75 = 317,094.75/x
  3. Step 3: Cross multiply
    211,329x = 317,094.75 × 317,094.75
  4. Step 4: Simplify right side
    211,329x = 100,549,080,477.56
  5. Step 5: Solve for x
    x = 100,549,080,477.56/211,329
  6. Step 6: Final answer
    x = 475,794.05

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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.