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Finding the Third Proportional to 193,732 and 418,044

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Solution

The third proportional to 193,732 and 418,044 is: 902,074.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,732 : 418,044 = 418,044 : x
  2. Step 2: Convert to fraction form
    193,732/418,044 = 418,044/x
  3. Step 3: Cross multiply
    193,732x = 418,044 × 418,044
  4. Step 4: Simplify right side
    193,732x = 174,760,785,936
  5. Step 5: Solve for x
    x = 174,760,785,936/193,732
  6. Step 6: Final answer
    x = 902,074.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.