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Finding the Third Proportional to 164,962 and 353,252

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Solution

The third proportional to 164,962 and 353,252 is: 756,458.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,962 : 353,252 = 353,252 : x
  2. Step 2: Convert to fraction form
    164,962/353,252 = 353,252/x
  3. Step 3: Cross multiply
    164,962x = 353,252 × 353,252
  4. Step 4: Simplify right side
    164,962x = 124,786,975,504
  5. Step 5: Solve for x
    x = 124,786,975,504/164,962
  6. Step 6: Final answer
    x = 756,458.91

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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.