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Finding the Third Proportional to 163,530 and 350,703

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Solution

The third proportional to 163,530 and 350,703 is: 752,110.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,530 : 350,703 = 350,703 : x
  2. Step 2: Convert to fraction form
    163,530/350,703 = 350,703/x
  3. Step 3: Cross multiply
    163,530x = 350,703 × 350,703
  4. Step 4: Simplify right side
    163,530x = 122,992,594,209
  5. Step 5: Solve for x
    x = 122,992,594,209/163,530
  6. Step 6: Final answer
    x = 752,110.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.