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Finding the Third Proportional to 164,685 and 354,336

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Solution

The third proportional to 164,685 and 354,336 is: 762,388.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,685 : 354,336 = 354,336 : x
  2. Step 2: Convert to fraction form
    164,685/354,336 = 354,336/x
  3. Step 3: Cross multiply
    164,685x = 354,336 × 354,336
  4. Step 4: Simplify right side
    164,685x = 125,554,000,896
  5. Step 5: Solve for x
    x = 125,554,000,896/164,685
  6. Step 6: Final answer
    x = 762,388.81

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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.