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Finding the Third Proportional to 112,408 and 235,208

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Solution

The third proportional to 112,408 and 235,208 is: 492,160.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,408 : 235,208 = 235,208 : x
  2. Step 2: Convert to fraction form
    112,408/235,208 = 235,208/x
  3. Step 3: Cross multiply
    112,408x = 235,208 × 235,208
  4. Step 4: Simplify right side
    112,408x = 55,322,803,264
  5. Step 5: Solve for x
    x = 55,322,803,264/112,408
  6. Step 6: Final answer
    x = 492,160.73

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.