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Finding the Third Proportional to 252,000 and 336,240

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Solution

The third proportional to 252,000 and 336,240 is: 448,640.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,000 : 336,240 = 336,240 : x
  2. Step 2: Convert to fraction form
    252,000/336,240 = 336,240/x
  3. Step 3: Cross multiply
    252,000x = 336,240 × 336,240
  4. Step 4: Simplify right side
    252,000x = 113,057,337,600
  5. Step 5: Solve for x
    x = 113,057,337,600/252,000
  6. Step 6: Final answer
    x = 448,640.23

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.