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Finding the Third Proportional to 175,433 and 384,194

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Solution

The third proportional to 175,433 and 384,194 is: 841,375.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,433 : 384,194 = 384,194 : x
  2. Step 2: Convert to fraction form
    175,433/384,194 = 384,194/x
  3. Step 3: Cross multiply
    175,433x = 384,194 × 384,194
  4. Step 4: Simplify right side
    175,433x = 147,605,029,636
  5. Step 5: Solve for x
    x = 147,605,029,636/175,433
  6. Step 6: Final answer
    x = 841,375.51

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.