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Finding the Third Proportional to 163,048.50 and 214,408.50

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Solution

The third proportional to 163,048.50 and 214,408.50 is: 281,946.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,048.50 : 214,408.50 = 214,408.50 : x
  2. Step 2: Convert to fraction form
    163,048.50/214,408.50 = 214,408.50/x
  3. Step 3: Cross multiply
    163,048.50x = 214,408.50 × 214,408.50
  4. Step 4: Simplify right side
    163,048.50x = 45,971,004,872.25
  5. Step 5: Solve for x
    x = 45,971,004,872.25/163,048.50
  6. Step 6: Final answer
    x = 281,946.81

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.