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Finding the Third Proportional to 164,736 and 361,548

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Solution

The third proportional to 164,736 and 361,548 is: 793,493.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,736 : 361,548 = 361,548 : x
  2. Step 2: Convert to fraction form
    164,736/361,548 = 361,548/x
  3. Step 3: Cross multiply
    164,736x = 361,548 × 361,548
  4. Step 4: Simplify right side
    164,736x = 130,716,956,304
  5. Step 5: Solve for x
    x = 130,716,956,304/164,736
  6. Step 6: Final answer
    x = 793,493.57

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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.