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Finding the Third Proportional to 164,322 and 353,551

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Solution

The third proportional to 164,322 and 353,551 is: 760,691.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,322 : 353,551 = 353,551 : x
  2. Step 2: Convert to fraction form
    164,322/353,551 = 353,551/x
  3. Step 3: Cross multiply
    164,322x = 353,551 × 353,551
  4. Step 4: Simplify right side
    164,322x = 124,998,309,601
  5. Step 5: Solve for x
    x = 124,998,309,601/164,322
  6. Step 6: Final answer
    x = 760,691.26

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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.