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Finding the Third Proportional to 166,158 and 243,684.50

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Solution

The third proportional to 166,158 and 243,684.50 is: 357,383.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,158 : 243,684.50 = 243,684.50 : x
  2. Step 2: Convert to fraction form
    166,158/243,684.50 = 243,684.50/x
  3. Step 3: Cross multiply
    166,158x = 243,684.50 × 243,684.50
  4. Step 4: Simplify right side
    166,158x = 59,382,135,540.25
  5. Step 5: Solve for x
    x = 59,382,135,540.25/166,158
  6. Step 6: Final answer
    x = 357,383.55

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.