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Finding the Third Proportional to 176,984 and 382,144

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Solution

The third proportional to 176,984 and 382,144 is: 825,125.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,984 : 382,144 = 382,144 : x
  2. Step 2: Convert to fraction form
    176,984/382,144 = 382,144/x
  3. Step 3: Cross multiply
    176,984x = 382,144 × 382,144
  4. Step 4: Simplify right side
    176,984x = 146,034,036,736
  5. Step 5: Solve for x
    x = 146,034,036,736/176,984
  6. Step 6: Final answer
    x = 825,125.64

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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.