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Finding the Third Proportional to 180,596.25 and 378,148.50

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Solution

The third proportional to 180,596.25 and 378,148.50 is: 791,800.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,596.25 : 378,148.50 = 378,148.50 : x
  2. Step 2: Convert to fraction form
    180,596.25/378,148.50 = 378,148.50/x
  3. Step 3: Cross multiply
    180,596.25x = 378,148.50 × 378,148.50
  4. Step 4: Simplify right side
    180,596.25x = 142,996,288,052.25
  5. Step 5: Solve for x
    x = 142,996,288,052.25/180,596.25
  6. Step 6: Final answer
    x = 791,800.98

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.