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Finding the Third Proportional to 163,740 and 352,380

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Solution

The third proportional to 163,740 and 352,380 is: 758,346.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,740 : 352,380 = 352,380 : x
  2. Step 2: Convert to fraction form
    163,740/352,380 = 352,380/x
  3. Step 3: Cross multiply
    163,740x = 352,380 × 352,380
  4. Step 4: Simplify right side
    163,740x = 124,171,664,400
  5. Step 5: Solve for x
    x = 124,171,664,400/163,740
  6. Step 6: Final answer
    x = 758,346.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.