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Finding the Third Proportional to 252,261 and 353,241

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Solution

The third proportional to 252,261 and 353,241 is: 494,643.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,261 : 353,241 = 353,241 : x
  2. Step 2: Convert to fraction form
    252,261/353,241 = 353,241/x
  3. Step 3: Cross multiply
    252,261x = 353,241 × 353,241
  4. Step 4: Simplify right side
    252,261x = 124,779,204,081
  5. Step 5: Solve for x
    x = 124,779,204,081/252,261
  6. Step 6: Final answer
    x = 494,643.26

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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.