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Finding the Third Proportional to 164,644 and 353,832

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Solution

The third proportional to 164,644 and 353,832 is: 760,410.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,644 : 353,832 = 353,832 : x
  2. Step 2: Convert to fraction form
    164,644/353,832 = 353,832/x
  3. Step 3: Cross multiply
    164,644x = 353,832 × 353,832
  4. Step 4: Simplify right side
    164,644x = 125,197,084,224
  5. Step 5: Solve for x
    x = 125,197,084,224/164,644
  6. Step 6: Final answer
    x = 760,410.85

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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.