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Finding the Third Proportional to 176,798 and 381,838

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Solution

The third proportional to 176,798 and 381,838 is: 824,671.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,798 : 381,838 = 381,838 : x
  2. Step 2: Convert to fraction form
    176,798/381,838 = 381,838/x
  3. Step 3: Cross multiply
    176,798x = 381,838 × 381,838
  4. Step 4: Simplify right side
    176,798x = 145,800,258,244
  5. Step 5: Solve for x
    x = 145,800,258,244/176,798
  6. Step 6: Final answer
    x = 824,671.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.