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Finding the Third Proportional to 130,976 and 200,224

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Solution

The third proportional to 130,976 and 200,224 is: 306,083.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,976 : 200,224 = 200,224 : x
  2. Step 2: Convert to fraction form
    130,976/200,224 = 200,224/x
  3. Step 3: Cross multiply
    130,976x = 200,224 × 200,224
  4. Step 4: Simplify right side
    130,976x = 40,089,650,176
  5. Step 5: Solve for x
    x = 40,089,650,176/130,976
  6. Step 6: Final answer
    x = 306,083.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.