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Finding the Third Proportional to 112,310 and 242,116

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Solution

The third proportional to 112,310 and 242,116 is: 521,949.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,310 : 242,116 = 242,116 : x
  2. Step 2: Convert to fraction form
    112,310/242,116 = 242,116/x
  3. Step 3: Cross multiply
    112,310x = 242,116 × 242,116
  4. Step 4: Simplify right side
    112,310x = 58,620,157,456
  5. Step 5: Solve for x
    x = 58,620,157,456/112,310
  6. Step 6: Final answer
    x = 521,949.58

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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.