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Finding the Third Proportional to 162,702 and 335,448

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Solution

The third proportional to 162,702 and 335,448 is: 691,604.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,702 : 335,448 = 335,448 : x
  2. Step 2: Convert to fraction form
    162,702/335,448 = 335,448/x
  3. Step 3: Cross multiply
    162,702x = 335,448 × 335,448
  4. Step 4: Simplify right side
    162,702x = 112,525,360,704
  5. Step 5: Solve for x
    x = 112,525,360,704/162,702
  6. Step 6: Final answer
    x = 691,604.04

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.