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Finding the Third Proportional to 201,042 and 442,064

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Solution

The third proportional to 201,042 and 442,064 is: 972,038.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,042 : 442,064 = 442,064 : x
  2. Step 2: Convert to fraction form
    201,042/442,064 = 442,064/x
  3. Step 3: Cross multiply
    201,042x = 442,064 × 442,064
  4. Step 4: Simplify right side
    201,042x = 195,420,580,096
  5. Step 5: Solve for x
    x = 195,420,580,096/201,042
  6. Step 6: Final answer
    x = 972,038.58

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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.