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Finding the Third Proportional to 164,204 and 354,046

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Solution

The third proportional to 164,204 and 354,046 is: 763,370.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,204 : 354,046 = 354,046 : x
  2. Step 2: Convert to fraction form
    164,204/354,046 = 354,046/x
  3. Step 3: Cross multiply
    164,204x = 354,046 × 354,046
  4. Step 4: Simplify right side
    164,204x = 125,348,570,116
  5. Step 5: Solve for x
    x = 125,348,570,116/164,204
  6. Step 6: Final answer
    x = 763,370.99

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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.