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Finding the Third Proportional to 209,043 and 315,523.69

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Solution

The third proportional to 209,043 and 315,523.69 is: 476,242.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,043 : 315,523.69 = 315,523.69 : x
  2. Step 2: Convert to fraction form
    209,043/315,523.69 = 315,523.69/x
  3. Step 3: Cross multiply
    209,043x = 315,523.69 × 315,523.69
  4. Step 4: Simplify right side
    209,043x = 99,555,197,373.60
  5. Step 5: Solve for x
    x = 99,555,197,373.60/209,043
  6. Step 6: Final answer
    x = 476,242.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.