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Finding the Third Proportional to 171,023.06 and 264,837.94

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Solution

The third proportional to 171,023.06 and 264,837.94 is: 410,115.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,023.06 : 264,837.94 = 264,837.94 : x
  2. Step 2: Convert to fraction form
    171,023.06/264,837.94 = 264,837.94/x
  3. Step 3: Cross multiply
    171,023.06x = 264,837.94 × 264,837.94
  4. Step 4: Simplify right side
    171,023.06x = 70,139,133,139.25
  5. Step 5: Solve for x
    x = 70,139,133,139.25/171,023.06
  6. Step 6: Final answer
    x = 410,115.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.