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Finding the Third Proportional to 203,495 and 442,012

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Solution

The third proportional to 203,495 and 442,012 is: 960,095.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,495 : 442,012 = 442,012 : x
  2. Step 2: Convert to fraction form
    203,495/442,012 = 442,012/x
  3. Step 3: Cross multiply
    203,495x = 442,012 × 442,012
  4. Step 4: Simplify right side
    203,495x = 195,374,608,144
  5. Step 5: Solve for x
    x = 195,374,608,144/203,495
  6. Step 6: Final answer
    x = 960,095.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.