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Finding the Third Proportional to 112,416 and 241,338

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Solution

The third proportional to 112,416 and 241,338 is: 518,111.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,416 : 241,338 = 241,338 : x
  2. Step 2: Convert to fraction form
    112,416/241,338 = 241,338/x
  3. Step 3: Cross multiply
    112,416x = 241,338 × 241,338
  4. Step 4: Simplify right side
    112,416x = 58,244,030,244
  5. Step 5: Solve for x
    x = 58,244,030,244/112,416
  6. Step 6: Final answer
    x = 518,111.57

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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.