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Finding the Third Proportional to 176,976 and 382,102

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Solution

The third proportional to 176,976 and 382,102 is: 824,981.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,976 : 382,102 = 382,102 : x
  2. Step 2: Convert to fraction form
    176,976/382,102 = 382,102/x
  3. Step 3: Cross multiply
    176,976x = 382,102 × 382,102
  4. Step 4: Simplify right side
    176,976x = 146,001,938,404
  5. Step 5: Solve for x
    x = 146,001,938,404/176,976
  6. Step 6: Final answer
    x = 824,981.57

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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.