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Finding the Third Proportional to 227,787.19 and 353,619

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Solution

The third proportional to 227,787.19 and 353,619 is: 548,961.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,787.19 : 353,619 = 353,619 : x
  2. Step 2: Convert to fraction form
    227,787.19/353,619 = 353,619/x
  3. Step 3: Cross multiply
    227,787.19x = 353,619 × 353,619
  4. Step 4: Simplify right side
    227,787.19x = 125,046,397,161
  5. Step 5: Solve for x
    x = 125,046,397,161/227,787.19
  6. Step 6: Final answer
    x = 548,961.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.