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Finding the Third Proportional to 159,525 and 348,027.75

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Solution

The third proportional to 159,525 and 348,027.75 is: 759,274.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,525 : 348,027.75 = 348,027.75 : x
  2. Step 2: Convert to fraction form
    159,525/348,027.75 = 348,027.75/x
  3. Step 3: Cross multiply
    159,525x = 348,027.75 × 348,027.75
  4. Step 4: Simplify right side
    159,525x = 121,123,314,770.06
  5. Step 5: Solve for x
    x = 121,123,314,770.06/159,525
  6. Step 6: Final answer
    x = 759,274.81

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.