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Finding the Third Proportional to 172,499.63 and 264,216.94

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Solution

The third proportional to 172,499.63 and 264,216.94 is: 404,699.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,499.63 : 264,216.94 = 264,216.94 : x
  2. Step 2: Convert to fraction form
    172,499.63/264,216.94 = 264,216.94/x
  3. Step 3: Cross multiply
    172,499.63x = 264,216.94 × 264,216.94
  4. Step 4: Simplify right side
    172,499.63x = 69,810,590,061.88
  5. Step 5: Solve for x
    x = 69,810,590,061.88/172,499.63
  6. Step 6: Final answer
    x = 404,699.95

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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.