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Finding the Third Proportional to 176,800 and 381,842

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Solution

The third proportional to 176,800 and 381,842 is: 824,679.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,800 : 381,842 = 381,842 : x
  2. Step 2: Convert to fraction form
    176,800/381,842 = 381,842/x
  3. Step 3: Cross multiply
    176,800x = 381,842 × 381,842
  4. Step 4: Simplify right side
    176,800x = 145,803,312,964
  5. Step 5: Solve for x
    x = 145,803,312,964/176,800
  6. Step 6: Final answer
    x = 824,679.37

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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.