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Finding the Third Proportional to 109,433 and 235,214

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Solution

The third proportional to 109,433 and 235,214 is: 505,566.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,433 : 235,214 = 235,214 : x
  2. Step 2: Convert to fraction form
    109,433/235,214 = 235,214/x
  3. Step 3: Cross multiply
    109,433x = 235,214 × 235,214
  4. Step 4: Simplify right side
    109,433x = 55,325,625,796
  5. Step 5: Solve for x
    x = 55,325,625,796/109,433
  6. Step 6: Final answer
    x = 505,566.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.