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Finding the Third Proportional to 188,795.25 and 288,114.75

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Solution

The third proportional to 188,795.25 and 288,114.75 is: 439,683.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,795.25 : 288,114.75 = 288,114.75 : x
  2. Step 2: Convert to fraction form
    188,795.25/288,114.75 = 288,114.75/x
  3. Step 3: Cross multiply
    188,795.25x = 288,114.75 × 288,114.75
  4. Step 4: Simplify right side
    188,795.25x = 83,010,109,167.56
  5. Step 5: Solve for x
    x = 83,010,109,167.56/188,795.25
  6. Step 6: Final answer
    x = 439,683.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.