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Finding the Third Proportional to 107,574 and 236,380

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Solution

The third proportional to 107,574 and 236,380 is: 519,414.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,574 : 236,380 = 236,380 : x
  2. Step 2: Convert to fraction form
    107,574/236,380 = 236,380/x
  3. Step 3: Cross multiply
    107,574x = 236,380 × 236,380
  4. Step 4: Simplify right side
    107,574x = 55,875,504,400
  5. Step 5: Solve for x
    x = 55,875,504,400/107,574
  6. Step 6: Final answer
    x = 519,414.58

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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.