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Finding the Third Proportional to 208,929.50 and 451,109

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Solution

The third proportional to 208,929.50 and 451,109 is: 974,009.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,929.50 : 451,109 = 451,109 : x
  2. Step 2: Convert to fraction form
    208,929.50/451,109 = 451,109/x
  3. Step 3: Cross multiply
    208,929.50x = 451,109 × 451,109
  4. Step 4: Simplify right side
    208,929.50x = 203,499,329,881
  5. Step 5: Solve for x
    x = 203,499,329,881/208,929.50
  6. Step 6: Final answer
    x = 974,009.56

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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.