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Finding the Third Proportional to 166,586.63 and 237,417.75

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Solution

The third proportional to 166,586.63 and 237,417.75 is: 338,365.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,586.63 : 237,417.75 = 237,417.75 : x
  2. Step 2: Convert to fraction form
    166,586.63/237,417.75 = 237,417.75/x
  3. Step 3: Cross multiply
    166,586.63x = 237,417.75 × 237,417.75
  4. Step 4: Simplify right side
    166,586.63x = 56,367,188,015.06
  5. Step 5: Solve for x
    x = 56,367,188,015.06/166,586.63
  6. Step 6: Final answer
    x = 338,365.63

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.