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Finding the Third Proportional to 88,281 and 191,232

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Solution

The third proportional to 88,281 and 191,232 is: 414,241.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,281 : 191,232 = 191,232 : x
  2. Step 2: Convert to fraction form
    88,281/191,232 = 191,232/x
  3. Step 3: Cross multiply
    88,281x = 191,232 × 191,232
  4. Step 4: Simplify right side
    88,281x = 36,569,677,824
  5. Step 5: Solve for x
    x = 36,569,677,824/88,281
  6. Step 6: Final answer
    x = 414,241.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.