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Finding the Third Proportional to 156,723 and 235,082

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Solution

The third proportional to 156,723 and 235,082 is: 352,619.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,723 : 235,082 = 235,082 : x
  2. Step 2: Convert to fraction form
    156,723/235,082 = 235,082/x
  3. Step 3: Cross multiply
    156,723x = 235,082 × 235,082
  4. Step 4: Simplify right side
    156,723x = 55,263,546,724
  5. Step 5: Solve for x
    x = 55,263,546,724/156,723
  6. Step 6: Final answer
    x = 352,619.25

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Why These Related Problems?

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