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Finding the Third Proportional to 201,798 and 304,233

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Solution

The third proportional to 201,798 and 304,233 is: 458,665.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,798 : 304,233 = 304,233 : x
  2. Step 2: Convert to fraction form
    201,798/304,233 = 304,233/x
  3. Step 3: Cross multiply
    201,798x = 304,233 × 304,233
  4. Step 4: Simplify right side
    201,798x = 92,557,718,289
  5. Step 5: Solve for x
    x = 92,557,718,289/201,798
  6. Step 6: Final answer
    x = 458,665.19

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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.