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Finding the Third Proportional to 201,753 and 442,690

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Solution

The third proportional to 201,753 and 442,690 is: 971,358.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,753 : 442,690 = 442,690 : x
  2. Step 2: Convert to fraction form
    201,753/442,690 = 442,690/x
  3. Step 3: Cross multiply
    201,753x = 442,690 × 442,690
  4. Step 4: Simplify right side
    201,753x = 195,974,436,100
  5. Step 5: Solve for x
    x = 195,974,436,100/201,753
  6. Step 6: Final answer
    x = 971,358.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.