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Finding the Third Proportional to 178,233.75 and 259,324.88

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Solution

The third proportional to 178,233.75 and 259,324.88 is: 377,310.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,233.75 : 259,324.88 = 259,324.88 : x
  2. Step 2: Convert to fraction form
    178,233.75/259,324.88 = 259,324.88/x
  3. Step 3: Cross multiply
    178,233.75x = 259,324.88 × 259,324.88
  4. Step 4: Simplify right side
    178,233.75x = 67,249,390,793.77
  5. Step 5: Solve for x
    x = 67,249,390,793.77/178,233.75
  6. Step 6: Final answer
    x = 377,310.08

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.