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Finding the Third Proportional to 164,646 and 354,942

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Solution

The third proportional to 164,646 and 354,942 is: 765,179.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,646 : 354,942 = 354,942 : x
  2. Step 2: Convert to fraction form
    164,646/354,942 = 354,942/x
  3. Step 3: Cross multiply
    164,646x = 354,942 × 354,942
  4. Step 4: Simplify right side
    164,646x = 125,983,823,364
  5. Step 5: Solve for x
    x = 125,983,823,364/164,646
  6. Step 6: Final answer
    x = 765,179.98

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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.