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Finding the Third Proportional to 188,257 and 386,535

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Solution

The third proportional to 188,257 and 386,535 is: 793,645.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,257 : 386,535 = 386,535 : x
  2. Step 2: Convert to fraction form
    188,257/386,535 = 386,535/x
  3. Step 3: Cross multiply
    188,257x = 386,535 × 386,535
  4. Step 4: Simplify right side
    188,257x = 149,409,306,225
  5. Step 5: Solve for x
    x = 149,409,306,225/188,257
  6. Step 6: Final answer
    x = 793,645.42

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.