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Finding the Third Proportional to 98,779 and 233,079

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Solution

The third proportional to 98,779 and 233,079 is: 549,973.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,779 : 233,079 = 233,079 : x
  2. Step 2: Convert to fraction form
    98,779/233,079 = 233,079/x
  3. Step 3: Cross multiply
    98,779x = 233,079 × 233,079
  4. Step 4: Simplify right side
    98,779x = 54,325,820,241
  5. Step 5: Solve for x
    x = 54,325,820,241/98,779
  6. Step 6: Final answer
    x = 549,973.38

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.