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Finding the Third Proportional to 182,520 and 424,044

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Solution

The third proportional to 182,520 and 424,044 is: 985,170.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,520 : 424,044 = 424,044 : x
  2. Step 2: Convert to fraction form
    182,520/424,044 = 424,044/x
  3. Step 3: Cross multiply
    182,520x = 424,044 × 424,044
  4. Step 4: Simplify right side
    182,520x = 179,813,313,936
  5. Step 5: Solve for x
    x = 179,813,313,936/182,520
  6. Step 6: Final answer
    x = 985,170.47

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.