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Finding the Third Proportional to 183,024 and 272,936

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Solution

The third proportional to 183,024 and 272,936 is: 407,017.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,024 : 272,936 = 272,936 : x
  2. Step 2: Convert to fraction form
    183,024/272,936 = 272,936/x
  3. Step 3: Cross multiply
    183,024x = 272,936 × 272,936
  4. Step 4: Simplify right side
    183,024x = 74,494,060,096
  5. Step 5: Solve for x
    x = 74,494,060,096/183,024
  6. Step 6: Final answer
    x = 407,017.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.