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Finding the Third Proportional to 201,880 and 424,662

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Solution

The third proportional to 201,880 and 424,662 is: 893,292.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,880 : 424,662 = 424,662 : x
  2. Step 2: Convert to fraction form
    201,880/424,662 = 424,662/x
  3. Step 3: Cross multiply
    201,880x = 424,662 × 424,662
  4. Step 4: Simplify right side
    201,880x = 180,337,814,244
  5. Step 5: Solve for x
    x = 180,337,814,244/201,880
  6. Step 6: Final answer
    x = 893,292.13

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.