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Finding the Third Proportional to 182,880 and 261,015

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Solution

The third proportional to 182,880 and 261,015 is: 372,532.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,880 : 261,015 = 261,015 : x
  2. Step 2: Convert to fraction form
    182,880/261,015 = 261,015/x
  3. Step 3: Cross multiply
    182,880x = 261,015 × 261,015
  4. Step 4: Simplify right side
    182,880x = 68,128,830,225
  5. Step 5: Solve for x
    x = 68,128,830,225/182,880
  6. Step 6: Final answer
    x = 372,532.97

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.