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Finding the Third Proportional to 112,775.34 and 234,880.88

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Solution

The third proportional to 112,775.34 and 234,880.88 is: 489,194.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,775.34 : 234,880.88 = 234,880.88 : x
  2. Step 2: Convert to fraction form
    112,775.34/234,880.88 = 234,880.88/x
  3. Step 3: Cross multiply
    112,775.34x = 234,880.88 × 234,880.88
  4. Step 4: Simplify right side
    112,775.34x = 55,169,025,440.77
  5. Step 5: Solve for x
    x = 55,169,025,440.77/112,775.34
  6. Step 6: Final answer
    x = 489,194.03

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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.