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Finding the Third Proportional to 80,172.84 and 172,773.28

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Solution

The third proportional to 80,172.84 and 172,773.28 is: 372,328.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,172.84 : 172,773.28 = 172,773.28 : x
  2. Step 2: Convert to fraction form
    80,172.84/172,773.28 = 172,773.28/x
  3. Step 3: Cross multiply
    80,172.84x = 172,773.28 × 172,773.28
  4. Step 4: Simplify right side
    80,172.84x = 29,850,606,713.89
  5. Step 5: Solve for x
    x = 29,850,606,713.89/80,172.84
  6. Step 6: Final answer
    x = 372,328.15

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.