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Finding the Third Proportional to 137,208 and 299,664

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Solution

The third proportional to 137,208 and 299,664 is: 654,469.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,208 : 299,664 = 299,664 : x
  2. Step 2: Convert to fraction form
    137,208/299,664 = 299,664/x
  3. Step 3: Cross multiply
    137,208x = 299,664 × 299,664
  4. Step 4: Simplify right side
    137,208x = 89,798,512,896
  5. Step 5: Solve for x
    x = 89,798,512,896/137,208
  6. Step 6: Final answer
    x = 654,469.95

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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.