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Finding the Third Proportional to 213,117 and 318,216.75

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Solution

The third proportional to 213,117 and 318,216.75 is: 475,146.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,117 : 318,216.75 = 318,216.75 : x
  2. Step 2: Convert to fraction form
    213,117/318,216.75 = 318,216.75/x
  3. Step 3: Cross multiply
    213,117x = 318,216.75 × 318,216.75
  4. Step 4: Simplify right side
    213,117x = 101,261,899,980.56
  5. Step 5: Solve for x
    x = 101,261,899,980.56/213,117
  6. Step 6: Final answer
    x = 475,146.98

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