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Finding the Third Proportional to 175,016 and 382,108

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Solution

The third proportional to 175,016 and 382,108 is: 834,246.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,016 : 382,108 = 382,108 : x
  2. Step 2: Convert to fraction form
    175,016/382,108 = 382,108/x
  3. Step 3: Cross multiply
    175,016x = 382,108 × 382,108
  4. Step 4: Simplify right side
    175,016x = 146,006,523,664
  5. Step 5: Solve for x
    x = 146,006,523,664/175,016
  6. Step 6: Final answer
    x = 834,246.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.