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Finding the Third Proportional to 116,896 and 175,344

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Solution

The third proportional to 116,896 and 175,344 is: 263,016

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,896 : 175,344 = 175,344 : x
  2. Step 2: Convert to fraction form
    116,896/175,344 = 175,344/x
  3. Step 3: Cross multiply
    116,896x = 175,344 × 175,344
  4. Step 4: Simplify right side
    116,896x = 30,745,518,336
  5. Step 5: Solve for x
    x = 30,745,518,336/116,896
  6. Step 6: Final answer
    x = 263,016

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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.