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Finding the Third Proportional to 166,158 and 362,390.63

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Solution

The third proportional to 166,158 and 362,390.63 is: 790,374.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,158 : 362,390.63 = 362,390.63 : x
  2. Step 2: Convert to fraction form
    166,158/362,390.63 = 362,390.63/x
  3. Step 3: Cross multiply
    166,158x = 362,390.63 × 362,390.63
  4. Step 4: Simplify right side
    166,158x = 131,326,965,087.89
  5. Step 5: Solve for x
    x = 131,326,965,087.89/166,158
  6. Step 6: Final answer
    x = 790,374.01

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.