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Finding the Third Proportional to 201,613 and 304,040

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Solution

The third proportional to 201,613 and 304,040 is: 458,503.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,613 : 304,040 = 304,040 : x
  2. Step 2: Convert to fraction form
    201,613/304,040 = 304,040/x
  3. Step 3: Cross multiply
    201,613x = 304,040 × 304,040
  4. Step 4: Simplify right side
    201,613x = 92,440,321,600
  5. Step 5: Solve for x
    x = 92,440,321,600/201,613
  6. Step 6: Final answer
    x = 458,503.78

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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.