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Finding the Third Proportional to 70,149 and 152,880

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Solution

The third proportional to 70,149 and 152,880 is: 333,180.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,149 : 152,880 = 152,880 : x
  2. Step 2: Convert to fraction form
    70,149/152,880 = 152,880/x
  3. Step 3: Cross multiply
    70,149x = 152,880 × 152,880
  4. Step 4: Simplify right side
    70,149x = 23,372,294,400
  5. Step 5: Solve for x
    x = 23,372,294,400/70,149
  6. Step 6: Final answer
    x = 333,180.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.