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Finding the Third Proportional to 172,036.41 and 265,728.09

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Solution

The third proportional to 172,036.41 and 265,728.09 is: 410,444.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,036.41 : 265,728.09 = 265,728.09 : x
  2. Step 2: Convert to fraction form
    172,036.41/265,728.09 = 265,728.09/x
  3. Step 3: Cross multiply
    172,036.41x = 265,728.09 × 265,728.09
  4. Step 4: Simplify right side
    172,036.41x = 70,611,419,808.01
  5. Step 5: Solve for x
    x = 70,611,419,808.01/172,036.41
  6. Step 6: Final answer
    x = 410,444.63

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.