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Finding the Third Proportional to 112,896 and 242,176

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Solution

The third proportional to 112,896 and 242,176 is: 519,497.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,896 : 242,176 = 242,176 : x
  2. Step 2: Convert to fraction form
    112,896/242,176 = 242,176/x
  3. Step 3: Cross multiply
    112,896x = 242,176 × 242,176
  4. Step 4: Simplify right side
    112,896x = 58,649,214,976
  5. Step 5: Solve for x
    x = 58,649,214,976/112,896
  6. Step 6: Final answer
    x = 519,497.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.