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Finding the Third Proportional to 171,828.75 and 359,305.50

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Solution

The third proportional to 171,828.75 and 359,305.50 is: 751,332.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,828.75 : 359,305.50 = 359,305.50 : x
  2. Step 2: Convert to fraction form
    171,828.75/359,305.50 = 359,305.50/x
  3. Step 3: Cross multiply
    171,828.75x = 359,305.50 × 359,305.50
  4. Step 4: Simplify right side
    171,828.75x = 129,100,442,330.25
  5. Step 5: Solve for x
    x = 129,100,442,330.25/171,828.75
  6. Step 6: Final answer
    x = 751,332.02

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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.