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Finding the Third Proportional to 162,562 and 354,932

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Solution

The third proportional to 162,562 and 354,932 is: 774,945.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,562 : 354,932 = 354,932 : x
  2. Step 2: Convert to fraction form
    162,562/354,932 = 354,932/x
  3. Step 3: Cross multiply
    162,562x = 354,932 × 354,932
  4. Step 4: Simplify right side
    162,562x = 125,976,724,624
  5. Step 5: Solve for x
    x = 125,976,724,624/162,562
  6. Step 6: Final answer
    x = 774,945.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.