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Finding the Third Proportional to 152,811 and 241,916

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Solution

The third proportional to 152,811 and 241,916 is: 382,978.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,811 : 241,916 = 241,916 : x
  2. Step 2: Convert to fraction form
    152,811/241,916 = 241,916/x
  3. Step 3: Cross multiply
    152,811x = 241,916 × 241,916
  4. Step 4: Simplify right side
    152,811x = 58,523,351,056
  5. Step 5: Solve for x
    x = 58,523,351,056/152,811
  6. Step 6: Final answer
    x = 382,978.65

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.