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Finding the Third Proportional to 242,034.75 and 323,271

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Solution

The third proportional to 242,034.75 and 323,271 is: 431,773.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,034.75 : 323,271 = 323,271 : x
  2. Step 2: Convert to fraction form
    242,034.75/323,271 = 323,271/x
  3. Step 3: Cross multiply
    242,034.75x = 323,271 × 323,271
  4. Step 4: Simplify right side
    242,034.75x = 104,504,139,441
  5. Step 5: Solve for x
    x = 104,504,139,441/242,034.75
  6. Step 6: Final answer
    x = 431,773.29

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.