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Finding the Third Proportional to 164,450.25 and 359,655.19

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Solution

The third proportional to 164,450.25 and 359,655.19 is: 786,571.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,450.25 : 359,655.19 = 359,655.19 : x
  2. Step 2: Convert to fraction form
    164,450.25/359,655.19 = 359,655.19/x
  3. Step 3: Cross multiply
    164,450.25x = 359,655.19 × 359,655.19
  4. Step 4: Simplify right side
    164,450.25x = 129,351,853,895.66
  5. Step 5: Solve for x
    x = 129,351,853,895.66/164,450.25
  6. Step 6: Final answer
    x = 786,571.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.