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Finding the Third Proportional to 260,070 and 353,241

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Solution

The third proportional to 260,070 and 353,241 is: 479,790.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,070 : 353,241 = 353,241 : x
  2. Step 2: Convert to fraction form
    260,070/353,241 = 353,241/x
  3. Step 3: Cross multiply
    260,070x = 353,241 × 353,241
  4. Step 4: Simplify right side
    260,070x = 124,779,204,081
  5. Step 5: Solve for x
    x = 124,779,204,081/260,070
  6. Step 6: Final answer
    x = 479,790.84

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.