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Finding the Third Proportional to 164,743 and 361,562

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Solution

The third proportional to 164,743 and 361,562 is: 793,521.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,743 : 361,562 = 361,562 : x
  2. Step 2: Convert to fraction form
    164,743/361,562 = 361,562/x
  3. Step 3: Cross multiply
    164,743x = 361,562 × 361,562
  4. Step 4: Simplify right side
    164,743x = 130,727,079,844
  5. Step 5: Solve for x
    x = 130,727,079,844/164,743
  6. Step 6: Final answer
    x = 793,521.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.