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Finding the Third Proportional to 134,779 and 289,242

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Solution

The third proportional to 134,779 and 289,242 is: 620,726.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,779 : 289,242 = 289,242 : x
  2. Step 2: Convert to fraction form
    134,779/289,242 = 289,242/x
  3. Step 3: Cross multiply
    134,779x = 289,242 × 289,242
  4. Step 4: Simplify right side
    134,779x = 83,660,934,564
  5. Step 5: Solve for x
    x = 83,660,934,564/134,779
  6. Step 6: Final answer
    x = 620,726.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.