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Finding the Third Proportional to 107,424 and 236,300

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Solution

The third proportional to 107,424 and 236,300 is: 519,787.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,424 : 236,300 = 236,300 : x
  2. Step 2: Convert to fraction form
    107,424/236,300 = 236,300/x
  3. Step 3: Cross multiply
    107,424x = 236,300 × 236,300
  4. Step 4: Simplify right side
    107,424x = 55,837,690,000
  5. Step 5: Solve for x
    x = 55,837,690,000/107,424
  6. Step 6: Final answer
    x = 519,787.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.