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Finding the Third Proportional to 164,828 and 361,732

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Solution

The third proportional to 164,828 and 361,732 is: 793,858.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,828 : 361,732 = 361,732 : x
  2. Step 2: Convert to fraction form
    164,828/361,732 = 361,732/x
  3. Step 3: Cross multiply
    164,828x = 361,732 × 361,732
  4. Step 4: Simplify right side
    164,828x = 130,850,039,824
  5. Step 5: Solve for x
    x = 130,850,039,824/164,828
  6. Step 6: Final answer
    x = 793,858.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.