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Finding the Third Proportional to 203,985 and 436,037

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Solution

The third proportional to 203,985 and 436,037 is: 932,069.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,985 : 436,037 = 436,037 : x
  2. Step 2: Convert to fraction form
    203,985/436,037 = 436,037/x
  3. Step 3: Cross multiply
    203,985x = 436,037 × 436,037
  4. Step 4: Simplify right side
    203,985x = 190,128,265,369
  5. Step 5: Solve for x
    x = 190,128,265,369/203,985
  6. Step 6: Final answer
    x = 932,069.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.