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Finding the Third Proportional to 171,852.25 and 377,557.25

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Solution

The third proportional to 171,852.25 and 377,557.25 is: 829,488.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,852.25 : 377,557.25 = 377,557.25 : x
  2. Step 2: Convert to fraction form
    171,852.25/377,557.25 = 377,557.25/x
  3. Step 3: Cross multiply
    171,852.25x = 377,557.25 × 377,557.25
  4. Step 4: Simplify right side
    171,852.25x = 142,549,477,027.56
  5. Step 5: Solve for x
    x = 142,549,477,027.56/171,852.25
  6. Step 6: Final answer
    x = 829,488.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.