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Finding the Third Proportional to 180,432 and 252,253

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Solution

The third proportional to 180,432 and 252,253 is: 352,662.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,432 : 252,253 = 252,253 : x
  2. Step 2: Convert to fraction form
    180,432/252,253 = 252,253/x
  3. Step 3: Cross multiply
    180,432x = 252,253 × 252,253
  4. Step 4: Simplify right side
    180,432x = 63,631,576,009
  5. Step 5: Solve for x
    x = 63,631,576,009/180,432
  6. Step 6: Final answer
    x = 352,662.37

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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.