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Finding the Third Proportional to 164,210 and 352,976

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Solution

The third proportional to 164,210 and 352,976 is: 758,736.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,210 : 352,976 = 352,976 : x
  2. Step 2: Convert to fraction form
    164,210/352,976 = 352,976/x
  3. Step 3: Cross multiply
    164,210x = 352,976 × 352,976
  4. Step 4: Simplify right side
    164,210x = 124,592,056,576
  5. Step 5: Solve for x
    x = 124,592,056,576/164,210
  6. Step 6: Final answer
    x = 758,736.11

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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.