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Finding the Third Proportional to 201,760 and 304,151

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Solution

The third proportional to 201,760 and 304,151 is: 458,504.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,760 : 304,151 = 304,151 : x
  2. Step 2: Convert to fraction form
    201,760/304,151 = 304,151/x
  3. Step 3: Cross multiply
    201,760x = 304,151 × 304,151
  4. Step 4: Simplify right side
    201,760x = 92,507,830,801
  5. Step 5: Solve for x
    x = 92,507,830,801/201,760
  6. Step 6: Final answer
    x = 458,504.32

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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.