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Finding the Third Proportional to 200,745.75 and 295,572.56

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Solution

The third proportional to 200,745.75 and 295,572.56 is: 435,192.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,745.75 : 295,572.56 = 295,572.56 : x
  2. Step 2: Convert to fraction form
    200,745.75/295,572.56 = 295,572.56/x
  3. Step 3: Cross multiply
    200,745.75x = 295,572.56 × 295,572.56
  4. Step 4: Simplify right side
    200,745.75x = 87,363,139,702.82
  5. Step 5: Solve for x
    x = 87,363,139,702.82/200,745.75
  6. Step 6: Final answer
    x = 435,192.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.