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Finding the Third Proportional to 193,170 and 307,371

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Solution

The third proportional to 193,170 and 307,371 is: 489,086.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,170 : 307,371 = 307,371 : x
  2. Step 2: Convert to fraction form
    193,170/307,371 = 307,371/x
  3. Step 3: Cross multiply
    193,170x = 307,371 × 307,371
  4. Step 4: Simplify right side
    193,170x = 94,476,931,641
  5. Step 5: Solve for x
    x = 94,476,931,641/193,170
  6. Step 6: Final answer
    x = 489,086.98

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.