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Finding the Third Proportional to 173,755.13 and 277,494

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Solution

The third proportional to 173,755.13 and 277,494 is: 443,169.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,755.13 : 277,494 = 277,494 : x
  2. Step 2: Convert to fraction form
    173,755.13/277,494 = 277,494/x
  3. Step 3: Cross multiply
    173,755.13x = 277,494 × 277,494
  4. Step 4: Simplify right side
    173,755.13x = 77,002,920,036
  5. Step 5: Solve for x
    x = 77,002,920,036/173,755.13
  6. Step 6: Final answer
    x = 443,169.20

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.