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Finding the Third Proportional to 172,560.75 and 353,485.50

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Solution

The third proportional to 172,560.75 and 353,485.50 is: 724,104.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,560.75 : 353,485.50 = 353,485.50 : x
  2. Step 2: Convert to fraction form
    172,560.75/353,485.50 = 353,485.50/x
  3. Step 3: Cross multiply
    172,560.75x = 353,485.50 × 353,485.50
  4. Step 4: Simplify right side
    172,560.75x = 124,951,998,710.25
  5. Step 5: Solve for x
    x = 124,951,998,710.25/172,560.75
  6. Step 6: Final answer
    x = 724,104.40

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.