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Finding the Third Proportional to 158,082 and 241,063

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Solution

The third proportional to 158,082 and 241,063 is: 367,602.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,082 : 241,063 = 241,063 : x
  2. Step 2: Convert to fraction form
    158,082/241,063 = 241,063/x
  3. Step 3: Cross multiply
    158,082x = 241,063 × 241,063
  4. Step 4: Simplify right side
    158,082x = 58,111,369,969
  5. Step 5: Solve for x
    x = 58,111,369,969/158,082
  6. Step 6: Final answer
    x = 367,602.70

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.