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Finding the Third Proportional to 201,798 and 304,234

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Solution

The third proportional to 201,798 and 304,234 is: 458,668.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,798 : 304,234 = 304,234 : x
  2. Step 2: Convert to fraction form
    201,798/304,234 = 304,234/x
  3. Step 3: Cross multiply
    201,798x = 304,234 × 304,234
  4. Step 4: Simplify right side
    201,798x = 92,558,326,756
  5. Step 5: Solve for x
    x = 92,558,326,756/201,798
  6. Step 6: Final answer
    x = 458,668.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.