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Finding the Third Proportional to 163,966 and 353,762

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Solution

The third proportional to 163,966 and 353,762 is: 763,253.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,966 : 353,762 = 353,762 : x
  2. Step 2: Convert to fraction form
    163,966/353,762 = 353,762/x
  3. Step 3: Cross multiply
    163,966x = 353,762 × 353,762
  4. Step 4: Simplify right side
    163,966x = 125,147,552,644
  5. Step 5: Solve for x
    x = 125,147,552,644/163,966
  6. Step 6: Final answer
    x = 763,253.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.