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Finding the Third Proportional to 181,774 and 424,546

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Solution

The third proportional to 181,774 and 424,546 is: 991,557.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,774 : 424,546 = 424,546 : x
  2. Step 2: Convert to fraction form
    181,774/424,546 = 424,546/x
  3. Step 3: Cross multiply
    181,774x = 424,546 × 424,546
  4. Step 4: Simplify right side
    181,774x = 180,239,306,116
  5. Step 5: Solve for x
    x = 180,239,306,116/181,774
  6. Step 6: Final answer
    x = 991,557.13

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.