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Finding the Third Proportional to 181,880 and 280,596

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Solution

The third proportional to 181,880 and 280,596 is: 432,890.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,880 : 280,596 = 280,596 : x
  2. Step 2: Convert to fraction form
    181,880/280,596 = 280,596/x
  3. Step 3: Cross multiply
    181,880x = 280,596 × 280,596
  4. Step 4: Simplify right side
    181,880x = 78,734,115,216
  5. Step 5: Solve for x
    x = 78,734,115,216/181,880
  6. Step 6: Final answer
    x = 432,890.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.