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Finding the Third Proportional to 121,365.56 and 188,438.44

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Solution

The third proportional to 121,365.56 and 188,438.44 is: 292,579.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,365.56 : 188,438.44 = 188,438.44 : x
  2. Step 2: Convert to fraction form
    121,365.56/188,438.44 = 188,438.44/x
  3. Step 3: Cross multiply
    121,365.56x = 188,438.44 × 188,438.44
  4. Step 4: Simplify right side
    121,365.56x = 35,509,044,727.44
  5. Step 5: Solve for x
    x = 35,509,044,727.44/121,365.56
  6. Step 6: Final answer
    x = 292,579.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.