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Finding the Third Proportional to 211,711 and 329,230.50

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Solution

The third proportional to 211,711 and 329,230.50 is: 511,984.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,711 : 329,230.50 = 329,230.50 : x
  2. Step 2: Convert to fraction form
    211,711/329,230.50 = 329,230.50/x
  3. Step 3: Cross multiply
    211,711x = 329,230.50 × 329,230.50
  4. Step 4: Simplify right side
    211,711x = 108,392,722,130.25
  5. Step 5: Solve for x
    x = 108,392,722,130.25/211,711
  6. Step 6: Final answer
    x = 511,984.37

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.