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Finding the Third Proportional to 201,784 and 442,930

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Solution

The third proportional to 201,784 and 442,930 is: 972,262.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,784 : 442,930 = 442,930 : x
  2. Step 2: Convert to fraction form
    201,784/442,930 = 442,930/x
  3. Step 3: Cross multiply
    201,784x = 442,930 × 442,930
  4. Step 4: Simplify right side
    201,784x = 196,186,984,900
  5. Step 5: Solve for x
    x = 196,186,984,900/201,784
  6. Step 6: Final answer
    x = 972,262.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.