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Finding the Third Proportional to 172,742.63 and 264,583.13

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Solution

The third proportional to 172,742.63 and 264,583.13 is: 405,251.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,742.63 : 264,583.13 = 264,583.13 : x
  2. Step 2: Convert to fraction form
    172,742.63/264,583.13 = 264,583.13/x
  3. Step 3: Cross multiply
    172,742.63x = 264,583.13 × 264,583.13
  4. Step 4: Simplify right side
    172,742.63x = 70,004,230,034.77
  5. Step 5: Solve for x
    x = 70,004,230,034.77/172,742.63
  6. Step 6: Final answer
    x = 405,251.63

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Why These Related Problems?

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