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Finding the Third Proportional to 112,210 and 241,916

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Solution

The third proportional to 112,210 and 241,916 is: 521,552.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,210 : 241,916 = 241,916 : x
  2. Step 2: Convert to fraction form
    112,210/241,916 = 241,916/x
  3. Step 3: Cross multiply
    112,210x = 241,916 × 241,916
  4. Step 4: Simplify right side
    112,210x = 58,523,351,056
  5. Step 5: Solve for x
    x = 58,523,351,056/112,210
  6. Step 6: Final answer
    x = 521,552.01

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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.