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Finding the Third Proportional to 176,972.88 and 382,120.25

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Solution

The third proportional to 176,972.88 and 382,120.25 is: 825,074.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,972.88 : 382,120.25 = 382,120.25 : x
  2. Step 2: Convert to fraction form
    176,972.88/382,120.25 = 382,120.25/x
  3. Step 3: Cross multiply
    176,972.88x = 382,120.25 × 382,120.25
  4. Step 4: Simplify right side
    176,972.88x = 146,015,885,460.06
  5. Step 5: Solve for x
    x = 146,015,885,460.06/176,972.88
  6. Step 6: Final answer
    x = 825,074.95

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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.