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Finding the Third Proportional to 225,993 and 341,906

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Solution

The third proportional to 225,993 and 341,906 is: 517,271.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,993 : 341,906 = 341,906 : x
  2. Step 2: Convert to fraction form
    225,993/341,906 = 341,906/x
  3. Step 3: Cross multiply
    225,993x = 341,906 × 341,906
  4. Step 4: Simplify right side
    225,993x = 116,899,712,836
  5. Step 5: Solve for x
    x = 116,899,712,836/225,993
  6. Step 6: Final answer
    x = 517,271.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.