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Finding the Third Proportional to 164,670 and 354,306

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Solution

The third proportional to 164,670 and 354,306 is: 762,329.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,670 : 354,306 = 354,306 : x
  2. Step 2: Convert to fraction form
    164,670/354,306 = 354,306/x
  3. Step 3: Cross multiply
    164,670x = 354,306 × 354,306
  4. Step 4: Simplify right side
    164,670x = 125,532,741,636
  5. Step 5: Solve for x
    x = 125,532,741,636/164,670
  6. Step 6: Final answer
    x = 762,329.15

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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.