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Finding the Third Proportional to 110,248 and 242,096

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Solution

The third proportional to 110,248 and 242,096 is: 531,623.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,248 : 242,096 = 242,096 : x
  2. Step 2: Convert to fraction form
    110,248/242,096 = 242,096/x
  3. Step 3: Cross multiply
    110,248x = 242,096 × 242,096
  4. Step 4: Simplify right side
    110,248x = 58,610,473,216
  5. Step 5: Solve for x
    x = 58,610,473,216/110,248
  6. Step 6: Final answer
    x = 531,623.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.