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Finding the Third Proportional to 204,045 and 437,572.50

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Solution

The third proportional to 204,045 and 437,572.50 is: 938,369.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,045 : 437,572.50 = 437,572.50 : x
  2. Step 2: Convert to fraction form
    204,045/437,572.50 = 437,572.50/x
  3. Step 3: Cross multiply
    204,045x = 437,572.50 × 437,572.50
  4. Step 4: Simplify right side
    204,045x = 191,469,692,756.25
  5. Step 5: Solve for x
    x = 191,469,692,756.25/204,045
  6. Step 6: Final answer
    x = 938,369.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.