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Finding the Third Proportional to 109,525.50 and 224,235

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Solution

The third proportional to 109,525.50 and 224,235 is: 459,083.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,525.50 : 224,235 = 224,235 : x
  2. Step 2: Convert to fraction form
    109,525.50/224,235 = 224,235/x
  3. Step 3: Cross multiply
    109,525.50x = 224,235 × 224,235
  4. Step 4: Simplify right side
    109,525.50x = 50,281,335,225
  5. Step 5: Solve for x
    x = 50,281,335,225/109,525.50
  6. Step 6: Final answer
    x = 459,083.37

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.