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Finding the Third Proportional to 164,201 and 354,596

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Solution

The third proportional to 164,201 and 354,596 is: 765,758.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,201 : 354,596 = 354,596 : x
  2. Step 2: Convert to fraction form
    164,201/354,596 = 354,596/x
  3. Step 3: Cross multiply
    164,201x = 354,596 × 354,596
  4. Step 4: Simplify right side
    164,201x = 125,738,323,216
  5. Step 5: Solve for x
    x = 125,738,323,216/164,201
  6. Step 6: Final answer
    x = 765,758.57

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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.