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Finding the Third Proportional to 172,104 and 370,575

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Solution

The third proportional to 172,104 and 370,575 is: 797,923.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,104 : 370,575 = 370,575 : x
  2. Step 2: Convert to fraction form
    172,104/370,575 = 370,575/x
  3. Step 3: Cross multiply
    172,104x = 370,575 × 370,575
  4. Step 4: Simplify right side
    172,104x = 137,325,830,625
  5. Step 5: Solve for x
    x = 137,325,830,625/172,104
  6. Step 6: Final answer
    x = 797,923.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.