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Finding the Third Proportional to 193,182 and 307,389

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Solution

The third proportional to 193,182 and 307,389 is: 489,113.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,182 : 307,389 = 307,389 : x
  2. Step 2: Convert to fraction form
    193,182/307,389 = 307,389/x
  3. Step 3: Cross multiply
    193,182x = 307,389 × 307,389
  4. Step 4: Simplify right side
    193,182x = 94,487,997,321
  5. Step 5: Solve for x
    x = 94,487,997,321/193,182
  6. Step 6: Final answer
    x = 489,113.88

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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.