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Finding the Third Proportional to 102,736 and 220,749.50

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Solution

The third proportional to 102,736 and 220,749.50 is: 474,325.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,736 : 220,749.50 = 220,749.50 : x
  2. Step 2: Convert to fraction form
    102,736/220,749.50 = 220,749.50/x
  3. Step 3: Cross multiply
    102,736x = 220,749.50 × 220,749.50
  4. Step 4: Simplify right side
    102,736x = 48,730,341,750.25
  5. Step 5: Solve for x
    x = 48,730,341,750.25/102,736
  6. Step 6: Final answer
    x = 474,325.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.