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Finding the Third Proportional to 208,004 and 308,947

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Solution

The third proportional to 208,004 and 308,947 is: 458,876.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,004 : 308,947 = 308,947 : x
  2. Step 2: Convert to fraction form
    208,004/308,947 = 308,947/x
  3. Step 3: Cross multiply
    208,004x = 308,947 × 308,947
  4. Step 4: Simplify right side
    208,004x = 95,448,248,809
  5. Step 5: Solve for x
    x = 95,448,248,809/208,004
  6. Step 6: Final answer
    x = 458,876.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.