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Finding the Third Proportional to 164,467 and 354,312

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Solution

The third proportional to 164,467 and 354,312 is: 763,295.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,467 : 354,312 = 354,312 : x
  2. Step 2: Convert to fraction form
    164,467/354,312 = 354,312/x
  3. Step 3: Cross multiply
    164,467x = 354,312 × 354,312
  4. Step 4: Simplify right side
    164,467x = 125,536,993,344
  5. Step 5: Solve for x
    x = 125,536,993,344/164,467
  6. Step 6: Final answer
    x = 763,295.94

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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.