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Finding the Third Proportional to 74,631.38 and 160,812.84

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Solution

The third proportional to 74,631.38 and 160,812.84 is: 346,513.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,631.38 : 160,812.84 = 160,812.84 : x
  2. Step 2: Convert to fraction form
    74,631.38/160,812.84 = 160,812.84/x
  3. Step 3: Cross multiply
    74,631.38x = 160,812.84 × 160,812.84
  4. Step 4: Simplify right side
    74,631.38x = 25,860,770,714.96
  5. Step 5: Solve for x
    x = 25,860,770,714.96/74,631.38
  6. Step 6: Final answer
    x = 346,513.39

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.