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Finding the Third Proportional to 164,966 and 353,260

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Solution

The third proportional to 164,966 and 353,260 is: 756,474.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,966 : 353,260 = 353,260 : x
  2. Step 2: Convert to fraction form
    164,966/353,260 = 353,260/x
  3. Step 3: Cross multiply
    164,966x = 353,260 × 353,260
  4. Step 4: Simplify right side
    164,966x = 124,792,627,600
  5. Step 5: Solve for x
    x = 124,792,627,600/164,966
  6. Step 6: Final answer
    x = 756,474.83

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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.