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Finding the Third Proportional to 201,273 and 430,734

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Solution

The third proportional to 201,273 and 430,734 is: 921,791.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,273 : 430,734 = 430,734 : x
  2. Step 2: Convert to fraction form
    201,273/430,734 = 430,734/x
  3. Step 3: Cross multiply
    201,273x = 430,734 × 430,734
  4. Step 4: Simplify right side
    201,273x = 185,531,778,756
  5. Step 5: Solve for x
    x = 185,531,778,756/201,273
  6. Step 6: Final answer
    x = 921,791.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.