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Finding the Third Proportional to 181,876.50 and 275,330.50

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Solution

The third proportional to 181,876.50 and 275,330.50 is: 416,804.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,876.50 : 275,330.50 = 275,330.50 : x
  2. Step 2: Convert to fraction form
    181,876.50/275,330.50 = 275,330.50/x
  3. Step 3: Cross multiply
    181,876.50x = 275,330.50 × 275,330.50
  4. Step 4: Simplify right side
    181,876.50x = 75,806,884,230.25
  5. Step 5: Solve for x
    x = 75,806,884,230.25/181,876.50
  6. Step 6: Final answer
    x = 416,804.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.