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Finding the Third Proportional to 173,866 and 380,944

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Solution

The third proportional to 173,866 and 380,944 is: 834,656.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,866 : 380,944 = 380,944 : x
  2. Step 2: Convert to fraction form
    173,866/380,944 = 380,944/x
  3. Step 3: Cross multiply
    173,866x = 380,944 × 380,944
  4. Step 4: Simplify right side
    173,866x = 145,118,331,136
  5. Step 5: Solve for x
    x = 145,118,331,136/173,866
  6. Step 6: Final answer
    x = 834,656.18

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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.