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Finding the Third Proportional to 88,215 and 190,524

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Solution

The third proportional to 88,215 and 190,524 is: 411,487.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,215 : 190,524 = 190,524 : x
  2. Step 2: Convert to fraction form
    88,215/190,524 = 190,524/x
  3. Step 3: Cross multiply
    88,215x = 190,524 × 190,524
  4. Step 4: Simplify right side
    88,215x = 36,299,394,576
  5. Step 5: Solve for x
    x = 36,299,394,576/88,215
  6. Step 6: Final answer
    x = 411,487.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.