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Finding the Third Proportional to 150,450 and 217,440

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Solution

The third proportional to 150,450 and 217,440 is: 314,258.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,450 : 217,440 = 217,440 : x
  2. Step 2: Convert to fraction form
    150,450/217,440 = 217,440/x
  3. Step 3: Cross multiply
    150,450x = 217,440 × 217,440
  4. Step 4: Simplify right side
    150,450x = 47,280,153,600
  5. Step 5: Solve for x
    x = 47,280,153,600/150,450
  6. Step 6: Final answer
    x = 314,258.25

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.