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Finding the Third Proportional to 172,992.94 and 374,416.88

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Solution

The third proportional to 172,992.94 and 374,416.88 is: 810,368.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,992.94 : 374,416.88 = 374,416.88 : x
  2. Step 2: Convert to fraction form
    172,992.94/374,416.88 = 374,416.88/x
  3. Step 3: Cross multiply
    172,992.94x = 374,416.88 × 374,416.88
  4. Step 4: Simplify right side
    172,992.94x = 140,187,996,284.77
  5. Step 5: Solve for x
    x = 140,187,996,284.77/172,992.94
  6. Step 6: Final answer
    x = 810,368.32

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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.