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Finding the Third Proportional to 200,562.75 and 437,103

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Solution

The third proportional to 200,562.75 and 437,103 is: 952,614.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,562.75 : 437,103 = 437,103 : x
  2. Step 2: Convert to fraction form
    200,562.75/437,103 = 437,103/x
  3. Step 3: Cross multiply
    200,562.75x = 437,103 × 437,103
  4. Step 4: Simplify right side
    200,562.75x = 191,059,032,609
  5. Step 5: Solve for x
    x = 191,059,032,609/200,562.75
  6. Step 6: Final answer
    x = 952,614.74

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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.