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Finding the Third Proportional to 200,118 and 442,242

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Solution

The third proportional to 200,118 and 442,242 is: 977,313.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,118 : 442,242 = 442,242 : x
  2. Step 2: Convert to fraction form
    200,118/442,242 = 442,242/x
  3. Step 3: Cross multiply
    200,118x = 442,242 × 442,242
  4. Step 4: Simplify right side
    200,118x = 195,577,986,564
  5. Step 5: Solve for x
    x = 195,577,986,564/200,118
  6. Step 6: Final answer
    x = 977,313.32

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.