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Finding the Third Proportional to 181,774 and 277,582

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Solution

The third proportional to 181,774 and 277,582 is: 423,887.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,774 : 277,582 = 277,582 : x
  2. Step 2: Convert to fraction form
    181,774/277,582 = 277,582/x
  3. Step 3: Cross multiply
    181,774x = 277,582 × 277,582
  4. Step 4: Simplify right side
    181,774x = 77,051,766,724
  5. Step 5: Solve for x
    x = 77,051,766,724/181,774
  6. Step 6: Final answer
    x = 423,887.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.