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Finding the Third Proportional to 164,326 and 353,560

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Solution

The third proportional to 164,326 and 353,560 is: 760,711.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,326 : 353,560 = 353,560 : x
  2. Step 2: Convert to fraction form
    164,326/353,560 = 353,560/x
  3. Step 3: Cross multiply
    164,326x = 353,560 × 353,560
  4. Step 4: Simplify right side
    164,326x = 125,004,673,600
  5. Step 5: Solve for x
    x = 125,004,673,600/164,326
  6. Step 6: Final answer
    x = 760,711.47

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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.