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Finding the Third Proportional to 180,532.50 and 252,383.50

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Solution

The third proportional to 180,532.50 and 252,383.50 is: 352,830.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,532.50 : 252,383.50 = 252,383.50 : x
  2. Step 2: Convert to fraction form
    180,532.50/252,383.50 = 252,383.50/x
  3. Step 3: Cross multiply
    180,532.50x = 252,383.50 × 252,383.50
  4. Step 4: Simplify right side
    180,532.50x = 63,697,431,072.25
  5. Step 5: Solve for x
    x = 63,697,431,072.25/180,532.50
  6. Step 6: Final answer
    x = 352,830.83

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.