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Finding the Third Proportional to 201,043 and 442,066

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Solution

The third proportional to 201,043 and 442,066 is: 972,042.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,043 : 442,066 = 442,066 : x
  2. Step 2: Convert to fraction form
    201,043/442,066 = 442,066/x
  3. Step 3: Cross multiply
    201,043x = 442,066 × 442,066
  4. Step 4: Simplify right side
    201,043x = 195,422,348,356
  5. Step 5: Solve for x
    x = 195,422,348,356/201,043
  6. Step 6: Final answer
    x = 972,042.54

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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.