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Finding the Third Proportional to 245,269 and 347,815.50

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Solution

The third proportional to 245,269 and 347,815.50 is: 493,236.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,269 : 347,815.50 = 347,815.50 : x
  2. Step 2: Convert to fraction form
    245,269/347,815.50 = 347,815.50/x
  3. Step 3: Cross multiply
    245,269x = 347,815.50 × 347,815.50
  4. Step 4: Simplify right side
    245,269x = 120,975,622,040.25
  5. Step 5: Solve for x
    x = 120,975,622,040.25/245,269
  6. Step 6: Final answer
    x = 493,236.50

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.