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Finding the Third Proportional to 134,922 and 292,198

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Solution

The third proportional to 134,922 and 292,198 is: 632,807.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,922 : 292,198 = 292,198 : x
  2. Step 2: Convert to fraction form
    134,922/292,198 = 292,198/x
  3. Step 3: Cross multiply
    134,922x = 292,198 × 292,198
  4. Step 4: Simplify right side
    134,922x = 85,379,671,204
  5. Step 5: Solve for x
    x = 85,379,671,204/134,922
  6. Step 6: Final answer
    x = 632,807.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.