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Finding the Third Proportional to 164,211 and 355,409

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Solution

The third proportional to 164,211 and 355,409 is: 769,227.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,211 : 355,409 = 355,409 : x
  2. Step 2: Convert to fraction form
    164,211/355,409 = 355,409/x
  3. Step 3: Cross multiply
    164,211x = 355,409 × 355,409
  4. Step 4: Simplify right side
    164,211x = 126,315,557,281
  5. Step 5: Solve for x
    x = 126,315,557,281/164,211
  6. Step 6: Final answer
    x = 769,227.14

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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.