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Finding the Third Proportional to 212,319.75 and 325,850.63

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Solution

The third proportional to 212,319.75 and 325,850.63 is: 500,088.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,319.75 : 325,850.63 = 325,850.63 : x
  2. Step 2: Convert to fraction form
    212,319.75/325,850.63 = 325,850.63/x
  3. Step 3: Cross multiply
    212,319.75x = 325,850.63 × 325,850.63
  4. Step 4: Simplify right side
    212,319.75x = 106,178,629,812.89
  5. Step 5: Solve for x
    x = 106,178,629,812.89/212,319.75
  6. Step 6: Final answer
    x = 500,088.33

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.