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Finding the Third Proportional to 112,404 and 235,201

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Solution

The third proportional to 112,404 and 235,201 is: 492,148.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,404 : 235,201 = 235,201 : x
  2. Step 2: Convert to fraction form
    112,404/235,201 = 235,201/x
  3. Step 3: Cross multiply
    112,404x = 235,201 × 235,201
  4. Step 4: Simplify right side
    112,404x = 55,319,510,401
  5. Step 5: Solve for x
    x = 55,319,510,401/112,404
  6. Step 6: Final answer
    x = 492,148.95

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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.