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Finding the Third Proportional to 164,206 and 352,969

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Solution

The third proportional to 164,206 and 352,969 is: 758,724.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,206 : 352,969 = 352,969 : x
  2. Step 2: Convert to fraction form
    164,206/352,969 = 352,969/x
  3. Step 3: Cross multiply
    164,206x = 352,969 × 352,969
  4. Step 4: Simplify right side
    164,206x = 124,587,114,961
  5. Step 5: Solve for x
    x = 124,587,114,961/164,206
  6. Step 6: Final answer
    x = 758,724.50

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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.