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Finding the Third Proportional to 112,458.50 and 232,874.50

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Solution

The third proportional to 112,458.50 and 232,874.50 is: 482,227.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,458.50 : 232,874.50 = 232,874.50 : x
  2. Step 2: Convert to fraction form
    112,458.50/232,874.50 = 232,874.50/x
  3. Step 3: Cross multiply
    112,458.50x = 232,874.50 × 232,874.50
  4. Step 4: Simplify right side
    112,458.50x = 54,230,532,750.25
  5. Step 5: Solve for x
    x = 54,230,532,750.25/112,458.50
  6. Step 6: Final answer
    x = 482,227.07

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.