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Finding the Third Proportional to 193,165.50 and 307,364.25

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Solution

The third proportional to 193,165.50 and 307,364.25 is: 489,076.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,165.50 : 307,364.25 = 307,364.25 : x
  2. Step 2: Convert to fraction form
    193,165.50/307,364.25 = 307,364.25/x
  3. Step 3: Cross multiply
    193,165.50x = 307,364.25 × 307,364.25
  4. Step 4: Simplify right side
    193,165.50x = 94,472,782,178.06
  5. Step 5: Solve for x
    x = 94,472,782,178.06/193,165.50
  6. Step 6: Final answer
    x = 489,076.89

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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.