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Finding the Third Proportional to 164,192 and 354,578

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Solution

The third proportional to 164,192 and 354,578 is: 765,722.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,192 : 354,578 = 354,578 : x
  2. Step 2: Convert to fraction form
    164,192/354,578 = 354,578/x
  3. Step 3: Cross multiply
    164,192x = 354,578 × 354,578
  4. Step 4: Simplify right side
    164,192x = 125,725,558,084
  5. Step 5: Solve for x
    x = 125,725,558,084/164,192
  6. Step 6: Final answer
    x = 765,722.80

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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.