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Finding the Third Proportional to 109,209.50 and 239,833

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Solution

The third proportional to 109,209.50 and 239,833 is: 526,692.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,209.50 : 239,833 = 239,833 : x
  2. Step 2: Convert to fraction form
    109,209.50/239,833 = 239,833/x
  3. Step 3: Cross multiply
    109,209.50x = 239,833 × 239,833
  4. Step 4: Simplify right side
    109,209.50x = 57,519,867,889
  5. Step 5: Solve for x
    x = 57,519,867,889/109,209.50
  6. Step 6: Final answer
    x = 526,692.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.