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Finding the Third Proportional to 156,821 and 235,584

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Solution

The third proportional to 156,821 and 235,584 is: 353,905.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,821 : 235,584 = 235,584 : x
  2. Step 2: Convert to fraction form
    156,821/235,584 = 235,584/x
  3. Step 3: Cross multiply
    156,821x = 235,584 × 235,584
  4. Step 4: Simplify right side
    156,821x = 55,499,821,056
  5. Step 5: Solve for x
    x = 55,499,821,056/156,821
  6. Step 6: Final answer
    x = 353,905.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.