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Finding the Third Proportional to 173,250 and 377,838

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Solution

The third proportional to 173,250 and 377,838 is: 824,020.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,250 : 377,838 = 377,838 : x
  2. Step 2: Convert to fraction form
    173,250/377,838 = 377,838/x
  3. Step 3: Cross multiply
    173,250x = 377,838 × 377,838
  4. Step 4: Simplify right side
    173,250x = 142,761,554,244
  5. Step 5: Solve for x
    x = 142,761,554,244/173,250
  6. Step 6: Final answer
    x = 824,020.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.