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Finding the Third Proportional to 205,200 and 442,008

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Solution

The third proportional to 205,200 and 442,008 is: 952,100.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,200 : 442,008 = 442,008 : x
  2. Step 2: Convert to fraction form
    205,200/442,008 = 442,008/x
  3. Step 3: Cross multiply
    205,200x = 442,008 × 442,008
  4. Step 4: Simplify right side
    205,200x = 195,371,072,064
  5. Step 5: Solve for x
    x = 195,371,072,064/205,200
  6. Step 6: Final answer
    x = 952,100.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.