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Finding the Third Proportional to 108,941 and 234,565

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Solution

The third proportional to 108,941 and 234,565 is: 505,050.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,941 : 234,565 = 234,565 : x
  2. Step 2: Convert to fraction form
    108,941/234,565 = 234,565/x
  3. Step 3: Cross multiply
    108,941x = 234,565 × 234,565
  4. Step 4: Simplify right side
    108,941x = 55,020,739,225
  5. Step 5: Solve for x
    x = 55,020,739,225/108,941
  6. Step 6: Final answer
    x = 505,050.80

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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.