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Finding the Third Proportional to 109,524 and 235,406

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Solution

The third proportional to 109,524 and 235,406 is: 505,971.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,524 : 235,406 = 235,406 : x
  2. Step 2: Convert to fraction form
    109,524/235,406 = 235,406/x
  3. Step 3: Cross multiply
    109,524x = 235,406 × 235,406
  4. Step 4: Simplify right side
    109,524x = 55,415,984,836
  5. Step 5: Solve for x
    x = 55,415,984,836/109,524
  6. Step 6: Final answer
    x = 505,971.16

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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.