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Finding the Third Proportional to 209,968.50 and 318,840

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Solution

The third proportional to 209,968.50 and 318,840 is: 484,162.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,968.50 : 318,840 = 318,840 : x
  2. Step 2: Convert to fraction form
    209,968.50/318,840 = 318,840/x
  3. Step 3: Cross multiply
    209,968.50x = 318,840 × 318,840
  4. Step 4: Simplify right side
    209,968.50x = 101,658,945,600
  5. Step 5: Solve for x
    x = 101,658,945,600/209,968.50
  6. Step 6: Final answer
    x = 484,162.84

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.