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Finding the Third Proportional to 159,790.50 and 333,250.50

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Solution

The third proportional to 159,790.50 and 333,250.50 is: 695,009.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,790.50 : 333,250.50 = 333,250.50 : x
  2. Step 2: Convert to fraction form
    159,790.50/333,250.50 = 333,250.50/x
  3. Step 3: Cross multiply
    159,790.50x = 333,250.50 × 333,250.50
  4. Step 4: Simplify right side
    159,790.50x = 111,055,895,750.25
  5. Step 5: Solve for x
    x = 111,055,895,750.25/159,790.50
  6. Step 6: Final answer
    x = 695,009.38

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.