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Finding the Third Proportional to 109,636.50 and 239,563.50

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Solution

The third proportional to 109,636.50 and 239,563.50 is: 523,463.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,636.50 : 239,563.50 = 239,563.50 : x
  2. Step 2: Convert to fraction form
    109,636.50/239,563.50 = 239,563.50/x
  3. Step 3: Cross multiply
    109,636.50x = 239,563.50 × 239,563.50
  4. Step 4: Simplify right side
    109,636.50x = 57,390,670,532.25
  5. Step 5: Solve for x
    x = 57,390,670,532.25/109,636.50
  6. Step 6: Final answer
    x = 523,463.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.