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Finding the Third Proportional to 145,896 and 220,356

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Solution

The third proportional to 145,896 and 220,356 is: 332,817.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,896 : 220,356 = 220,356 : x
  2. Step 2: Convert to fraction form
    145,896/220,356 = 220,356/x
  3. Step 3: Cross multiply
    145,896x = 220,356 × 220,356
  4. Step 4: Simplify right side
    145,896x = 48,556,766,736
  5. Step 5: Solve for x
    x = 48,556,766,736/145,896
  6. Step 6: Final answer
    x = 332,817.67

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Why These Related Problems?

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