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Finding the Third Proportional to 218,307 and 326,119.50

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Solution

The third proportional to 218,307 and 326,119.50 is: 487,175.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,307 : 326,119.50 = 326,119.50 : x
  2. Step 2: Convert to fraction form
    218,307/326,119.50 = 326,119.50/x
  3. Step 3: Cross multiply
    218,307x = 326,119.50 × 326,119.50
  4. Step 4: Simplify right side
    218,307x = 106,353,928,280.25
  5. Step 5: Solve for x
    x = 106,353,928,280.25/218,307
  6. Step 6: Final answer
    x = 487,175.99

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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.