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Finding the Third Proportional to 288,093 and 436,114

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Solution

The third proportional to 288,093 and 436,114 is: 660,187.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,093 : 436,114 = 436,114 : x
  2. Step 2: Convert to fraction form
    288,093/436,114 = 436,114/x
  3. Step 3: Cross multiply
    288,093x = 436,114 × 436,114
  4. Step 4: Simplify right side
    288,093x = 190,195,420,996
  5. Step 5: Solve for x
    x = 190,195,420,996/288,093
  6. Step 6: Final answer
    x = 660,187.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.