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Finding the Third Proportional to 143,691 and 308,707.50

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Solution

The third proportional to 143,691 and 308,707.50 is: 663,230.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,691 : 308,707.50 = 308,707.50 : x
  2. Step 2: Convert to fraction form
    143,691/308,707.50 = 308,707.50/x
  3. Step 3: Cross multiply
    143,691x = 308,707.50 × 308,707.50
  4. Step 4: Simplify right side
    143,691x = 95,300,320,556.25
  5. Step 5: Solve for x
    x = 95,300,320,556.25/143,691
  6. Step 6: Final answer
    x = 663,230.96

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.