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Finding the Third Proportional to 210,189 and 320,143.50

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Solution

The third proportional to 210,189 and 320,143.50 is: 487,617.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,189 : 320,143.50 = 320,143.50 : x
  2. Step 2: Convert to fraction form
    210,189/320,143.50 = 320,143.50/x
  3. Step 3: Cross multiply
    210,189x = 320,143.50 × 320,143.50
  4. Step 4: Simplify right side
    210,189x = 102,491,860,592.25
  5. Step 5: Solve for x
    x = 102,491,860,592.25/210,189
  6. Step 6: Final answer
    x = 487,617.62

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.