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Finding the Third Proportional to 193,636 and 424,536

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Solution

The third proportional to 193,636 and 424,536 is: 930,771.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,636 : 424,536 = 424,536 : x
  2. Step 2: Convert to fraction form
    193,636/424,536 = 424,536/x
  3. Step 3: Cross multiply
    193,636x = 424,536 × 424,536
  4. Step 4: Simplify right side
    193,636x = 180,230,815,296
  5. Step 5: Solve for x
    x = 180,230,815,296/193,636
  6. Step 6: Final answer
    x = 930,771.22

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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.