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Finding the Third Proportional to 259,947 and 347,702

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Solution

The third proportional to 259,947 and 347,702 is: 465,082.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,947 : 347,702 = 347,702 : x
  2. Step 2: Convert to fraction form
    259,947/347,702 = 347,702/x
  3. Step 3: Cross multiply
    259,947x = 347,702 × 347,702
  4. Step 4: Simplify right side
    259,947x = 120,896,680,804
  5. Step 5: Solve for x
    x = 120,896,680,804/259,947
  6. Step 6: Final answer
    x = 465,082.04

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Why These Related Problems?

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