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Finding the Third Proportional to 176,688 and 381,544

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Solution

The third proportional to 176,688 and 381,544 is: 823,914.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,688 : 381,544 = 381,544 : x
  2. Step 2: Convert to fraction form
    176,688/381,544 = 381,544/x
  3. Step 3: Cross multiply
    176,688x = 381,544 × 381,544
  4. Step 4: Simplify right side
    176,688x = 145,575,823,936
  5. Step 5: Solve for x
    x = 145,575,823,936/176,688
  6. Step 6: Final answer
    x = 823,914.61

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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.