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Finding the Third Proportional to 156,558 and 209,724

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Solution

The third proportional to 156,558 and 209,724 is: 280,944.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,558 : 209,724 = 209,724 : x
  2. Step 2: Convert to fraction form
    156,558/209,724 = 209,724/x
  3. Step 3: Cross multiply
    156,558x = 209,724 × 209,724
  4. Step 4: Simplify right side
    156,558x = 43,984,156,176
  5. Step 5: Solve for x
    x = 43,984,156,176/156,558
  6. Step 6: Final answer
    x = 280,944.80

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.