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Finding the Third Proportional to 188,413 and 255,851

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Solution

The third proportional to 188,413 and 255,851 is: 347,426.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,413 : 255,851 = 255,851 : x
  2. Step 2: Convert to fraction form
    188,413/255,851 = 255,851/x
  3. Step 3: Cross multiply
    188,413x = 255,851 × 255,851
  4. Step 4: Simplify right side
    188,413x = 65,459,734,201
  5. Step 5: Solve for x
    x = 65,459,734,201/188,413
  6. Step 6: Final answer
    x = 347,426.85

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.