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Finding the Third Proportional to 178,422.75 and 384,699.38

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Solution

The third proportional to 178,422.75 and 384,699.38 is: 829,454.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,422.75 : 384,699.38 = 384,699.38 : x
  2. Step 2: Convert to fraction form
    178,422.75/384,699.38 = 384,699.38/x
  3. Step 3: Cross multiply
    178,422.75x = 384,699.38 × 384,699.38
  4. Step 4: Simplify right side
    178,422.75x = 147,993,609,125.39
  5. Step 5: Solve for x
    x = 147,993,609,125.39/178,422.75
  6. Step 6: Final answer
    x = 829,454.82

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.