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Finding the Third Proportional to 173,669 and 352,165

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Solution

The third proportional to 173,669 and 352,165 is: 714,118.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,669 : 352,165 = 352,165 : x
  2. Step 2: Convert to fraction form
    173,669/352,165 = 352,165/x
  3. Step 3: Cross multiply
    173,669x = 352,165 × 352,165
  4. Step 4: Simplify right side
    173,669x = 124,020,187,225
  5. Step 5: Solve for x
    x = 124,020,187,225/173,669
  6. Step 6: Final answer
    x = 714,118.16

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.