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Finding the Third Proportional to 172,654.88 and 264,510.56

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Solution

The third proportional to 172,654.88 and 264,510.56 is: 405,235.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,654.88 : 264,510.56 = 264,510.56 : x
  2. Step 2: Convert to fraction form
    172,654.88/264,510.56 = 264,510.56/x
  3. Step 3: Cross multiply
    172,654.88x = 264,510.56 × 264,510.56
  4. Step 4: Simplify right side
    172,654.88x = 69,965,837,674.07
  5. Step 5: Solve for x
    x = 69,965,837,674.07/172,654.88
  6. Step 6: Final answer
    x = 405,235.23

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.