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Finding the Third Proportional to 164,866 and 353,054

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Solution

The third proportional to 164,866 and 353,054 is: 756,051.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,866 : 353,054 = 353,054 : x
  2. Step 2: Convert to fraction form
    164,866/353,054 = 353,054/x
  3. Step 3: Cross multiply
    164,866x = 353,054 × 353,054
  4. Step 4: Simplify right side
    164,866x = 124,647,126,916
  5. Step 5: Solve for x
    x = 124,647,126,916/164,866
  6. Step 6: Final answer
    x = 756,051.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.