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Finding the Third Proportional to 159,951.38 and 243,383.06

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Solution

The third proportional to 159,951.38 and 243,383.06 is: 370,333.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,951.38 : 243,383.06 = 243,383.06 : x
  2. Step 2: Convert to fraction form
    159,951.38/243,383.06 = 243,383.06/x
  3. Step 3: Cross multiply
    159,951.38x = 243,383.06 × 243,383.06
  4. Step 4: Simplify right side
    159,951.38x = 59,235,315,111.88
  5. Step 5: Solve for x
    x = 59,235,315,111.88/159,951.38
  6. Step 6: Final answer
    x = 370,333.27

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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.