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Finding the Third Proportional to 137,198 and 299,533

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Solution

The third proportional to 137,198 and 299,533 is: 653,945.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,198 : 299,533 = 299,533 : x
  2. Step 2: Convert to fraction form
    137,198/299,533 = 299,533/x
  3. Step 3: Cross multiply
    137,198x = 299,533 × 299,533
  4. Step 4: Simplify right side
    137,198x = 89,720,018,089
  5. Step 5: Solve for x
    x = 89,720,018,089/137,198
  6. Step 6: Final answer
    x = 653,945.52

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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.