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Finding the Third Proportional to 163,787.25 and 347,256.75

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Solution

The third proportional to 163,787.25 and 347,256.75 is: 736,243.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,787.25 : 347,256.75 = 347,256.75 : x
  2. Step 2: Convert to fraction form
    163,787.25/347,256.75 = 347,256.75/x
  3. Step 3: Cross multiply
    163,787.25x = 347,256.75 × 347,256.75
  4. Step 4: Simplify right side
    163,787.25x = 120,587,250,420.56
  5. Step 5: Solve for x
    x = 120,587,250,420.56/163,787.25
  6. Step 6: Final answer
    x = 736,243.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.