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Finding the Third Proportional to 202.50 and 412.59

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Solution

The third proportional to 202.50 and 412.59 is: 840.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.50 : 412.59 = 412.59 : x
  2. Step 2: Convert to fraction form
    202.50/412.59 = 412.59/x
  3. Step 3: Cross multiply
    202.50x = 412.59 × 412.59
  4. Step 4: Simplify right side
    202.50x = 170,233.60
  5. Step 5: Solve for x
    x = 170,233.60/202.50
  6. Step 6: Final answer
    x = 840.66

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.