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Finding the Third Proportional to 107,809 and 234,265

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Solution

The third proportional to 107,809 and 234,265 is: 509,049.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,809 : 234,265 = 234,265 : x
  2. Step 2: Convert to fraction form
    107,809/234,265 = 234,265/x
  3. Step 3: Cross multiply
    107,809x = 234,265 × 234,265
  4. Step 4: Simplify right side
    107,809x = 54,880,090,225
  5. Step 5: Solve for x
    x = 54,880,090,225/107,809
  6. Step 6: Final answer
    x = 509,049.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.