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Finding the Third Proportional to 193,156 and 307,350

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Solution

The third proportional to 193,156 and 307,350 is: 489,055.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,156 : 307,350 = 307,350 : x
  2. Step 2: Convert to fraction form
    193,156/307,350 = 307,350/x
  3. Step 3: Cross multiply
    193,156x = 307,350 × 307,350
  4. Step 4: Simplify right side
    193,156x = 94,464,022,500
  5. Step 5: Solve for x
    x = 94,464,022,500/193,156
  6. Step 6: Final answer
    x = 489,055.59

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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.