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Finding the Third Proportional to 176,872 and 384,848

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Solution

The third proportional to 176,872 and 384,848 is: 837,373.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,872 : 384,848 = 384,848 : x
  2. Step 2: Convert to fraction form
    176,872/384,848 = 384,848/x
  3. Step 3: Cross multiply
    176,872x = 384,848 × 384,848
  4. Step 4: Simplify right side
    176,872x = 148,107,983,104
  5. Step 5: Solve for x
    x = 148,107,983,104/176,872
  6. Step 6: Final answer
    x = 837,373.82

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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.