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Finding the Third Proportional to 201,051 and 442,082

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Solution

The third proportional to 201,051 and 442,082 is: 972,074.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,051 : 442,082 = 442,082 : x
  2. Step 2: Convert to fraction form
    201,051/442,082 = 442,082/x
  3. Step 3: Cross multiply
    201,051x = 442,082 × 442,082
  4. Step 4: Simplify right side
    201,051x = 195,436,494,724
  5. Step 5: Solve for x
    x = 195,436,494,724/201,051
  6. Step 6: Final answer
    x = 972,074.22

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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.