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Finding the Third Proportional to 203,933.63 and 437,381.25

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Solution

The third proportional to 203,933.63 and 437,381.25 is: 938,061.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,933.63 : 437,381.25 = 437,381.25 : x
  2. Step 2: Convert to fraction form
    203,933.63/437,381.25 = 437,381.25/x
  3. Step 3: Cross multiply
    203,933.63x = 437,381.25 × 437,381.25
  4. Step 4: Simplify right side
    203,933.63x = 191,302,357,851.56
  5. Step 5: Solve for x
    x = 191,302,357,851.56/203,933.63
  6. Step 6: Final answer
    x = 938,061.87

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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.