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Finding the Third Proportional to 199,093 and 433,178

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Solution

The third proportional to 199,093 and 433,178 is: 942,490.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,093 : 433,178 = 433,178 : x
  2. Step 2: Convert to fraction form
    199,093/433,178 = 433,178/x
  3. Step 3: Cross multiply
    199,093x = 433,178 × 433,178
  4. Step 4: Simplify right side
    199,093x = 187,643,179,684
  5. Step 5: Solve for x
    x = 187,643,179,684/199,093
  6. Step 6: Final answer
    x = 942,490.09

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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.