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Finding the Third Proportional to 178,359.25 and 371,480.50

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Solution

The third proportional to 178,359.25 and 371,480.50 is: 773,706.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,359.25 : 371,480.50 = 371,480.50 : x
  2. Step 2: Convert to fraction form
    178,359.25/371,480.50 = 371,480.50/x
  3. Step 3: Cross multiply
    178,359.25x = 371,480.50 × 371,480.50
  4. Step 4: Simplify right side
    178,359.25x = 137,997,761,880.25
  5. Step 5: Solve for x
    x = 137,997,761,880.25/178,359.25
  6. Step 6: Final answer
    x = 773,706.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.