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Finding the Third Proportional to 112,949 and 235,254

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Solution

The third proportional to 112,949 and 235,254 is: 489,994.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,949 : 235,254 = 235,254 : x
  2. Step 2: Convert to fraction form
    112,949/235,254 = 235,254/x
  3. Step 3: Cross multiply
    112,949x = 235,254 × 235,254
  4. Step 4: Simplify right side
    112,949x = 55,344,444,516
  5. Step 5: Solve for x
    x = 55,344,444,516/112,949
  6. Step 6: Final answer
    x = 489,994.99

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.