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Finding the Third Proportional to 181,536 and 253,916

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Solution

The third proportional to 181,536 and 253,916 is: 355,154.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,536 : 253,916 = 253,916 : x
  2. Step 2: Convert to fraction form
    181,536/253,916 = 253,916/x
  3. Step 3: Cross multiply
    181,536x = 253,916 × 253,916
  4. Step 4: Simplify right side
    181,536x = 64,473,335,056
  5. Step 5: Solve for x
    x = 64,473,335,056/181,536
  6. Step 6: Final answer
    x = 355,154.54

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.