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Finding the Third Proportional to 201,884.50 and 424,682

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Solution

The third proportional to 201,884.50 and 424,682 is: 893,356.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,884.50 : 424,682 = 424,682 : x
  2. Step 2: Convert to fraction form
    201,884.50/424,682 = 424,682/x
  3. Step 3: Cross multiply
    201,884.50x = 424,682 × 424,682
  4. Step 4: Simplify right side
    201,884.50x = 180,354,801,124
  5. Step 5: Solve for x
    x = 180,354,801,124/201,884.50
  6. Step 6: Final answer
    x = 893,356.36

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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.