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Finding the Third Proportional to 169,464.50 and 361,447

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Solution

The third proportional to 169,464.50 and 361,447 is: 770,922.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,464.50 : 361,447 = 361,447 : x
  2. Step 2: Convert to fraction form
    169,464.50/361,447 = 361,447/x
  3. Step 3: Cross multiply
    169,464.50x = 361,447 × 361,447
  4. Step 4: Simplify right side
    169,464.50x = 130,643,933,809
  5. Step 5: Solve for x
    x = 130,643,933,809/169,464.50
  6. Step 6: Final answer
    x = 770,922.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.