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Finding the Third Proportional to 193,819.50 and 307,334.25

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Solution

The third proportional to 193,819.50 and 307,334.25 is: 487,331.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,819.50 : 307,334.25 = 307,334.25 : x
  2. Step 2: Convert to fraction form
    193,819.50/307,334.25 = 307,334.25/x
  3. Step 3: Cross multiply
    193,819.50x = 307,334.25 × 307,334.25
  4. Step 4: Simplify right side
    193,819.50x = 94,454,341,223.06
  5. Step 5: Solve for x
    x = 94,454,341,223.06/193,819.50
  6. Step 6: Final answer
    x = 487,331.47

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