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Finding the Third Proportional to 112,235 and 242,274

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Solution

The third proportional to 112,235 and 242,274 is: 522,980.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,235 : 242,274 = 242,274 : x
  2. Step 2: Convert to fraction form
    112,235/242,274 = 242,274/x
  3. Step 3: Cross multiply
    112,235x = 242,274 × 242,274
  4. Step 4: Simplify right side
    112,235x = 58,696,691,076
  5. Step 5: Solve for x
    x = 58,696,691,076/112,235
  6. Step 6: Final answer
    x = 522,980.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.