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Finding the Third Proportional to 155,879 and 336,082

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Solution

The third proportional to 155,879 and 336,082 is: 724,607.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,879 : 336,082 = 336,082 : x
  2. Step 2: Convert to fraction form
    155,879/336,082 = 336,082/x
  3. Step 3: Cross multiply
    155,879x = 336,082 × 336,082
  4. Step 4: Simplify right side
    155,879x = 112,951,110,724
  5. Step 5: Solve for x
    x = 112,951,110,724/155,879
  6. Step 6: Final answer
    x = 724,607.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.