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Finding the Third Proportional to 158,852 and 233,094

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Solution

The third proportional to 158,852 and 233,094 is: 342,034.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,852 : 233,094 = 233,094 : x
  2. Step 2: Convert to fraction form
    158,852/233,094 = 233,094/x
  3. Step 3: Cross multiply
    158,852x = 233,094 × 233,094
  4. Step 4: Simplify right side
    158,852x = 54,332,812,836
  5. Step 5: Solve for x
    x = 54,332,812,836/158,852
  6. Step 6: Final answer
    x = 342,034.18

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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.