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Finding the Third Proportional to 176,976 and 382,127

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Solution

The third proportional to 176,976 and 382,127 is: 825,089.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,976 : 382,127 = 382,127 : x
  2. Step 2: Convert to fraction form
    176,976/382,127 = 382,127/x
  3. Step 3: Cross multiply
    176,976x = 382,127 × 382,127
  4. Step 4: Simplify right side
    176,976x = 146,021,044,129
  5. Step 5: Solve for x
    x = 146,021,044,129/176,976
  6. Step 6: Final answer
    x = 825,089.53

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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.