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Finding the Third Proportional to 157,659 and 244,779

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Solution

The third proportional to 157,659 and 244,779 is: 380,040.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,659 : 244,779 = 244,779 : x
  2. Step 2: Convert to fraction form
    157,659/244,779 = 244,779/x
  3. Step 3: Cross multiply
    157,659x = 244,779 × 244,779
  4. Step 4: Simplify right side
    157,659x = 59,916,758,841
  5. Step 5: Solve for x
    x = 59,916,758,841/157,659
  6. Step 6: Final answer
    x = 380,040.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.