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Finding the Third Proportional to 164,904 and 353,128

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Solution

The third proportional to 164,904 and 353,128 is: 756,193.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,904 : 353,128 = 353,128 : x
  2. Step 2: Convert to fraction form
    164,904/353,128 = 353,128/x
  3. Step 3: Cross multiply
    164,904x = 353,128 × 353,128
  4. Step 4: Simplify right side
    164,904x = 124,699,384,384
  5. Step 5: Solve for x
    x = 124,699,384,384/164,904
  6. Step 6: Final answer
    x = 756,193.81

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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.