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Finding the Third Proportional to 193,792 and 415,610

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Solution

The third proportional to 193,792 and 415,610 is: 891,325.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,792 : 415,610 = 415,610 : x
  2. Step 2: Convert to fraction form
    193,792/415,610 = 415,610/x
  3. Step 3: Cross multiply
    193,792x = 415,610 × 415,610
  4. Step 4: Simplify right side
    193,792x = 172,731,672,100
  5. Step 5: Solve for x
    x = 172,731,672,100/193,792
  6. Step 6: Final answer
    x = 891,325.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.