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Finding the Third Proportional to 113,494.50 and 245,775.75

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Solution

The third proportional to 113,494.50 and 245,775.75 is: 532,234.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,494.50 : 245,775.75 = 245,775.75 : x
  2. Step 2: Convert to fraction form
    113,494.50/245,775.75 = 245,775.75/x
  3. Step 3: Cross multiply
    113,494.50x = 245,775.75 × 245,775.75
  4. Step 4: Simplify right side
    113,494.50x = 60,405,719,288.06
  5. Step 5: Solve for x
    x = 60,405,719,288.06/113,494.50
  6. Step 6: Final answer
    x = 532,234.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.