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Finding the Third Proportional to 173,766 and 380,745

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Solution

The third proportional to 173,766 and 380,745 is: 834,264.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,766 : 380,745 = 380,745 : x
  2. Step 2: Convert to fraction form
    173,766/380,745 = 380,745/x
  3. Step 3: Cross multiply
    173,766x = 380,745 × 380,745
  4. Step 4: Simplify right side
    173,766x = 144,966,755,025
  5. Step 5: Solve for x
    x = 144,966,755,025/173,766
  6. Step 6: Final answer
    x = 834,264.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.