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Finding the Third Proportional to 164,188 and 354,624

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Solution

The third proportional to 164,188 and 354,624 is: 765,940.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,188 : 354,624 = 354,624 : x
  2. Step 2: Convert to fraction form
    164,188/354,624 = 354,624/x
  3. Step 3: Cross multiply
    164,188x = 354,624 × 354,624
  4. Step 4: Simplify right side
    164,188x = 125,758,181,376
  5. Step 5: Solve for x
    x = 125,758,181,376/164,188
  6. Step 6: Final answer
    x = 765,940.15

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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.