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Finding the Third Proportional to 192,304.13 and 319,180.50

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Solution

The third proportional to 192,304.13 and 319,180.50 is: 529,766.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,304.13 : 319,180.50 = 319,180.50 : x
  2. Step 2: Convert to fraction form
    192,304.13/319,180.50 = 319,180.50/x
  3. Step 3: Cross multiply
    192,304.13x = 319,180.50 × 319,180.50
  4. Step 4: Simplify right side
    192,304.13x = 101,876,191,580.25
  5. Step 5: Solve for x
    x = 101,876,191,580.25/192,304.13
  6. Step 6: Final answer
    x = 529,766.02

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.