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Finding the Third Proportional to 164,197 and 353,723

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Solution

The third proportional to 164,197 and 353,723 is: 762,011.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,197 : 353,723 = 353,723 : x
  2. Step 2: Convert to fraction form
    164,197/353,723 = 353,723/x
  3. Step 3: Cross multiply
    164,197x = 353,723 × 353,723
  4. Step 4: Simplify right side
    164,197x = 125,119,960,729
  5. Step 5: Solve for x
    x = 125,119,960,729/164,197
  6. Step 6: Final answer
    x = 762,011.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.