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Finding the Third Proportional to 202,241.50 and 441,347

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Solution

The third proportional to 202,241.50 and 441,347 is: 963,141.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,241.50 : 441,347 = 441,347 : x
  2. Step 2: Convert to fraction form
    202,241.50/441,347 = 441,347/x
  3. Step 3: Cross multiply
    202,241.50x = 441,347 × 441,347
  4. Step 4: Simplify right side
    202,241.50x = 194,787,174,409
  5. Step 5: Solve for x
    x = 194,787,174,409/202,241.50
  6. Step 6: Final answer
    x = 963,141.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.