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Finding the Third Proportional to 164,201 and 353,734

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Solution

The third proportional to 164,201 and 353,734 is: 762,040.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,201 : 353,734 = 353,734 : x
  2. Step 2: Convert to fraction form
    164,201/353,734 = 353,734/x
  3. Step 3: Cross multiply
    164,201x = 353,734 × 353,734
  4. Step 4: Simplify right side
    164,201x = 125,127,742,756
  5. Step 5: Solve for x
    x = 125,127,742,756/164,201
  6. Step 6: Final answer
    x = 762,040.08

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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.