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Finding the Third Proportional to 164,190 and 354,628

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Solution

The third proportional to 164,190 and 354,628 is: 765,948.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,190 : 354,628 = 354,628 : x
  2. Step 2: Convert to fraction form
    164,190/354,628 = 354,628/x
  3. Step 3: Cross multiply
    164,190x = 354,628 × 354,628
  4. Step 4: Simplify right side
    164,190x = 125,761,018,384
  5. Step 5: Solve for x
    x = 125,761,018,384/164,190
  6. Step 6: Final answer
    x = 765,948.10

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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.