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Finding the Third Proportional to 117,306 and 175,815

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Solution

The third proportional to 117,306 and 175,815 is: 263,506.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,306 : 175,815 = 175,815 : x
  2. Step 2: Convert to fraction form
    117,306/175,815 = 175,815/x
  3. Step 3: Cross multiply
    117,306x = 175,815 × 175,815
  4. Step 4: Simplify right side
    117,306x = 30,910,914,225
  5. Step 5: Solve for x
    x = 30,910,914,225/117,306
  6. Step 6: Final answer
    x = 263,506.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.