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Finding the Third Proportional to 201,089 and 442,026

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Solution

The third proportional to 201,089 and 442,026 is: 971,644.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,089 : 442,026 = 442,026 : x
  2. Step 2: Convert to fraction form
    201,089/442,026 = 442,026/x
  3. Step 3: Cross multiply
    201,089x = 442,026 × 442,026
  4. Step 4: Simplify right side
    201,089x = 195,386,984,676
  5. Step 5: Solve for x
    x = 195,386,984,676/201,089
  6. Step 6: Final answer
    x = 971,644.32

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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.