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Finding the Third Proportional to 203,142.38 and 437,503.50

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Solution

The third proportional to 203,142.38 and 437,503.50 is: 942,242.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,142.38 : 437,503.50 = 437,503.50 : x
  2. Step 2: Convert to fraction form
    203,142.38/437,503.50 = 437,503.50/x
  3. Step 3: Cross multiply
    203,142.38x = 437,503.50 × 437,503.50
  4. Step 4: Simplify right side
    203,142.38x = 191,409,312,512.25
  5. Step 5: Solve for x
    x = 191,409,312,512.25/203,142.38
  6. Step 6: Final answer
    x = 942,242.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.