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Finding the Third Proportional to 252,225 and 535,194

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Solution

The third proportional to 252,225 and 535,194 is: 1,135,623.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,225 : 535,194 = 535,194 : x
  2. Step 2: Convert to fraction form
    252,225/535,194 = 535,194/x
  3. Step 3: Cross multiply
    252,225x = 535,194 × 535,194
  4. Step 4: Simplify right side
    252,225x = 286,432,617,636
  5. Step 5: Solve for x
    x = 286,432,617,636/252,225
  6. Step 6: Final answer
    x = 1,135,623.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.