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Finding the Third Proportional to 164,350 and 354,890

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Solution

The third proportional to 164,350 and 354,890 is: 766,333.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,350 : 354,890 = 354,890 : x
  2. Step 2: Convert to fraction form
    164,350/354,890 = 354,890/x
  3. Step 3: Cross multiply
    164,350x = 354,890 × 354,890
  4. Step 4: Simplify right side
    164,350x = 125,946,912,100
  5. Step 5: Solve for x
    x = 125,946,912,100/164,350
  6. Step 6: Final answer
    x = 766,333.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.