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Finding the Third Proportional to 176,973 and 382,098

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Solution

The third proportional to 176,973 and 382,098 is: 824,978.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,973 : 382,098 = 382,098 : x
  2. Step 2: Convert to fraction form
    176,973/382,098 = 382,098/x
  3. Step 3: Cross multiply
    176,973x = 382,098 × 382,098
  4. Step 4: Simplify right side
    176,973x = 145,998,881,604
  5. Step 5: Solve for x
    x = 145,998,881,604/176,973
  6. Step 6: Final answer
    x = 824,978.28

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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.