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Finding the Third Proportional to 109,000.50 and 235,203

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Solution

The third proportional to 109,000.50 and 235,203 is: 507,524.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,000.50 : 235,203 = 235,203 : x
  2. Step 2: Convert to fraction form
    109,000.50/235,203 = 235,203/x
  3. Step 3: Cross multiply
    109,000.50x = 235,203 × 235,203
  4. Step 4: Simplify right side
    109,000.50x = 55,320,451,209
  5. Step 5: Solve for x
    x = 55,320,451,209/109,000.50
  6. Step 6: Final answer
    x = 507,524.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.