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Finding the Third Proportional to 201,960 and 424,812

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Solution

The third proportional to 201,960 and 424,812 is: 893,569.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,960 : 424,812 = 424,812 : x
  2. Step 2: Convert to fraction form
    201,960/424,812 = 424,812/x
  3. Step 3: Cross multiply
    201,960x = 424,812 × 424,812
  4. Step 4: Simplify right side
    201,960x = 180,465,235,344
  5. Step 5: Solve for x
    x = 180,465,235,344/201,960
  6. Step 6: Final answer
    x = 893,569.20

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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.