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Finding the Third Proportional to 213,855.19 and 333,051.75

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Solution

The third proportional to 213,855.19 and 333,051.75 is: 518,684.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,855.19 : 333,051.75 = 333,051.75 : x
  2. Step 2: Convert to fraction form
    213,855.19/333,051.75 = 333,051.75/x
  3. Step 3: Cross multiply
    213,855.19x = 333,051.75 × 333,051.75
  4. Step 4: Simplify right side
    213,855.19x = 110,923,468,178.06
  5. Step 5: Solve for x
    x = 110,923,468,178.06/213,855.19
  6. Step 6: Final answer
    x = 518,684.95

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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.