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Finding the Third Proportional to 208,930.50 and 451,111

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Solution

The third proportional to 208,930.50 and 451,111 is: 974,013.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,930.50 : 451,111 = 451,111 : x
  2. Step 2: Convert to fraction form
    208,930.50/451,111 = 451,111/x
  3. Step 3: Cross multiply
    208,930.50x = 451,111 × 451,111
  4. Step 4: Simplify right side
    208,930.50x = 203,501,134,321
  5. Step 5: Solve for x
    x = 203,501,134,321/208,930.50
  6. Step 6: Final answer
    x = 974,013.53

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.