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Finding the Third Proportional to 180,534 and 252,385

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Solution

The third proportional to 180,534 and 252,385 is: 352,832.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,534 : 252,385 = 252,385 : x
  2. Step 2: Convert to fraction form
    180,534/252,385 = 252,385/x
  3. Step 3: Cross multiply
    180,534x = 252,385 × 252,385
  4. Step 4: Simplify right side
    180,534x = 63,698,188,225
  5. Step 5: Solve for x
    x = 63,698,188,225/180,534
  6. Step 6: Final answer
    x = 352,832.09

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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.