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Finding the Third Proportional to 158,263 and 366,064

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Solution

The third proportional to 158,263 and 366,064 is: 846,709.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,263 : 366,064 = 366,064 : x
  2. Step 2: Convert to fraction form
    158,263/366,064 = 366,064/x
  3. Step 3: Cross multiply
    158,263x = 366,064 × 366,064
  4. Step 4: Simplify right side
    158,263x = 134,002,852,096
  5. Step 5: Solve for x
    x = 134,002,852,096/158,263
  6. Step 6: Final answer
    x = 846,709.92

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.