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Finding the Third Proportional to 299,204 and 437,233.50

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Solution

The third proportional to 299,204 and 437,233.50 is: 638,939.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,204 : 437,233.50 = 437,233.50 : x
  2. Step 2: Convert to fraction form
    299,204/437,233.50 = 437,233.50/x
  3. Step 3: Cross multiply
    299,204x = 437,233.50 × 437,233.50
  4. Step 4: Simplify right side
    299,204x = 191,173,133,522.25
  5. Step 5: Solve for x
    x = 191,173,133,522.25/299,204
  6. Step 6: Final answer
    x = 638,939.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.