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Finding the Third Proportional to 180,923.50 and 395,381

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Solution

The third proportional to 180,923.50 and 395,381 is: 864,045.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,923.50 : 395,381 = 395,381 : x
  2. Step 2: Convert to fraction form
    180,923.50/395,381 = 395,381/x
  3. Step 3: Cross multiply
    180,923.50x = 395,381 × 395,381
  4. Step 4: Simplify right side
    180,923.50x = 156,326,135,161
  5. Step 5: Solve for x
    x = 156,326,135,161/180,923.50
  6. Step 6: Final answer
    x = 864,045.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.