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Finding the Third Proportional to 164,450 and 359,336

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Solution

The third proportional to 164,450 and 359,336 is: 785,177.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,450 : 359,336 = 359,336 : x
  2. Step 2: Convert to fraction form
    164,450/359,336 = 359,336/x
  3. Step 3: Cross multiply
    164,450x = 359,336 × 359,336
  4. Step 4: Simplify right side
    164,450x = 129,122,360,896
  5. Step 5: Solve for x
    x = 129,122,360,896/164,450
  6. Step 6: Final answer
    x = 785,177.02

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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.